Deck 4: Percents and Problem Solving
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Deck 4: Percents and Problem Solving
1
If Jesse can do a job in 4 hours and Mia can do the same job in 3 hours, what is the ratio of the rate of work of Jesse to that of Mia?
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

C
2
One cup of breakfast cereal was found to contain the following nutrients (shown in grams per serving).
Find the ratio of protein to carbohydrate.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

A
3
What is the gear ratio (rear to front) of a bicycle that has 46 teeth on the rear sprocket and 50 teeth on the front sprocket?
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

A
4
Which of the following ratios forms a proportion with
?
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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5
Read the proportion and name the means. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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6
Write the following ratio as a fraction in lowest terms. The ratio of peanuts to cashews is 25 to 85.
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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7
Read the proportion and name the extremes. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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8
Read the proportion and name the means and extremes. 
A) The means are
and
. The extremes are
and
.
B) The means are
and
. The extremes are
and
.
C) The means are
and
. The extremes are
and
.
D) The means are
and
. The extremes are
and
.
E) The means are
and
. The extremes are
and
.

A) The means are




B) The means are




C) The means are




D) The means are




E) The means are




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9
Find the ratio of
.
A)
B)
C)
D)
E) This ratio is not permitted; a ratio cannot contain mixed numbers

A)

B)

C)

D)

E) This ratio is not permitted; a ratio cannot contain mixed numbers
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10
Read the proportion and name the means and extremes. 
A) The means are
and
. The extremes are
and
.
B) The means are
and
. The extremes are
and
.
C) The means are
and
. The extremes are
and
.
D) The means are
and
. The extremes are
and
.
E) The means are
and
. The extremes are
and
.

A) The means are




B) The means are




C) The means are




D) The means are




E) The means are




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11
Which pair of ratios forms a proportion?
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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12
Which ratio forms a proportion with
?
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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13
About 58 baby boys are born for every 50 baby girls. Write this as the simplified ratio of females to males.
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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14
A cement mixture calls for 40 pounds of cement for 2 gallons of water. What is the ratio of cement to water?
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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15
Write the following ratio as a fraction in lowest terms. The ratio of dollars to people is 117 to 15.
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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16
Which pair of ratios forms a proportion?
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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17
If you drive
miles on
gallons of gas, what is the simplified ratio of miles to gallons?
A)
B)
C)
D)
E) A ratio of
to
is not permitted because a ratio cannot contain fractions.


A)

B)

C)

D)

E) A ratio of


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18
Which pair of ratios forms a proportion?
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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19
Write the following ratio as a fraction in lowest terms. The ratio of dogs to cats is 9 to 2.
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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20
A family of four budgeted the following amounts for some of their monthly bills, where a = $350, b = $70, c = $190, d = $210.
What is the ratio of the house payment to the food bill?
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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21
Write the following ratio as a fraction in lowest terms.
The ratio of dollars to people is 78 to 4.
The ratio of dollars to people is 78 to 4.
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22
Write the following ratio as a fraction in lowest terms.
The ratio of peanuts to cashews is 12 to 138.
The ratio of peanuts to cashews is 12 to 138.
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23
A family of four budgeted the following amounts for some of their monthly bills, where a = $390, b = $60, c = $110, d = $280.
What is the ratio of the house payment to the food bill? Give your answer as a fraction in lowest terms.

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24
Tell whether the pair of ratios forms a proportion. Answer yes or no . 

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25
Tell whether the pair of ratios forms a proportion. Answer yes or no . 

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26
Tell whether the pair of ratios forms a proportion. Answer yes or no . 

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27
If Jesse can do a job in 4 hours and Mia can do the same job in 3 hours, what is the ratio of the rate of work of Jesse to that of Mia?
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28
Read the proportion and name the means and extremes.
The means are
. The extremes are
.



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29
Read the proportion and name the means and extremes.
The means are
. The extremes are
.



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30
Write the following ratio as a fraction in lowest terms.
The ratio of dogs to cats is 9 to 8.
The ratio of dogs to cats is 9 to 8.
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31
About 108 baby boys are born for every 100 baby girls. Write this as the simplified ratio of females to males.
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32
One cup of breakfast cereal was found to contain the following nutrients (shown in grams per serving):
Find the ratio of protein to carbohydrate. Give your answer as a fraction in lowest terms.

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33
Tell whether the pair of ratios forms a proportion. Answer yes or no . 

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34
Tell whether the pair of ratios forms a proportion. Answer yes or no . 

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35
Tell whether the pair of ratios forms a proportion. Answer yes or no . 

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36
Read the proportion and name the means and extremes.
The means are
. The extremes are
.



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37
A cement mixture calls for 60 pounds of cement for 3 gallons of water. What is the simplified ratio of cement to water?
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38
What is the gear ratio (rear to front) of a bicycle that has 26 teeth on the rear sprocket and 46 teeth on the front sprocket?
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39
Read the proportion and name the means and extremes.
The means are
. The extremes are
.



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40
Find the ratio of
.

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41
Find the missing term in the proportion. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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42
Solve the proportion. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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43
Solve the proportion. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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44
Solve the proportion. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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45
Write a proportion for the statement, and then solve the proportion to find the value of the variable.
is to
as
is to 
A)
; 
B)
; 
C)
; 
D)
; 
E)
; 




A)


B)


C)


D)


E)


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46
If you drive
miles on
gallons of gas, what is the simplified ratio of miles to gallons?


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47
Solve the proportion. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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48
Solve the proportion. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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49
Solve the proportion. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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50
A family plans to drive their car during their annual vacation. The car can go 340 miles on a tank of gas, which is 16 gallons of gas. The vacation they have planned will cover 1,836 miles. How many gallons of gas will that take? Round your answer to one decimal place, if necessary.
A) 21.3 gal
B) 115.1 gal
C) 114.8 gal
D) 86.4 gal
E) 5.4 gal
A) 21.3 gal
B) 115.1 gal
C) 114.8 gal
D) 86.4 gal
E) 5.4 gal
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51
Write a proportion for the statement, and then solve the proportion to find the value of the variable.
is to
as
is to 
A)
; 
B)
; 
C)
; 
D)
; 
E)
; 




A)


B)


C)


D)


E)


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52
Solve the proportion. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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53
Write a proportion for the statement, and then solve the proportion to find the value of the variable.
is to
as
is to 
A)
; 
B)
; 
C)
; 
D)
; 
E)
; 




A)


B)


C)


D)


E)


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54
An airplane flies 1,660 miles in 4 hours. How far will it fly in 5 hours?
A) 2,075 mi
B) 10,375 mi
C) 2,073 mi
D) 2,074 mi
E) 1,328 mi
A) 2,075 mi
B) 10,375 mi
C) 2,073 mi
D) 2,074 mi
E) 1,328 mi
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55
Solve the proportion. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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56
A woman drives her car 216 miles in 4 hours. At this rate, how far will she travel in 8 hours?
A) 335 mi
B) 432 mi
C) 864 mi
D) 1,728 mi
E) 433 mi
A) 335 mi
B) 432 mi
C) 864 mi
D) 1,728 mi
E) 433 mi
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57
Solve the proportion. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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58
Solve the proportion. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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59
Solve the proportion. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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60
Solve the proportion. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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61
Solve the proportion.
__________


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62
Solve the proportion. Give your answer as a fraction in lowest terms. 

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63
Solve the proportion.
__________


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64
Solve the proportion.
__________


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65
Write a proportion for the statement, and then solve the proportion to find the value of the variable.
is to
as
is to
__________






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66
Solve the proportion. Give your answer as a fraction in lowest terms. 

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67
Solve the proportion.
__________


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68
Write a proportion for the statement, and then solve the proportion to find the value of the variable.
is to
as
is to
__________






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69
Solve the proportion.
M = __________

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70
Write a proportion for the statement, and then solve the proportion to find the value of the variable.
is to
as
is to
__________






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71
Solve the proportion.
U = __________

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72
Solve the proportion.
__________


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73
A woman drives her car 245 miles in 5 hours. At this rate, how far will she travel in 7 hours?
__________ mi
__________ mi
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74
Write a proportion for the statement, and then solve the proportion to find the value of the variable.
is to
as
is to 
A)
; 
B)
; 
C)
; 
D)
; 
E)
; 




A)


B)


C)


D)


E)


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75
Solve the proportion.
__________


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76
Solve the proportion.
M = __________

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77
Solve the proportion.
__________


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78
Solve the proportion. Give your answer as a fraction in lowest terms. 

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79
An airplane flies 1,640 miles in 4 hours. How far will it fly in 6 hours?
__________ mi
__________ mi
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80
A family plans to drive their car during their annual vacation. The car can go 350 miles on a tank of gas, which is 18 gallons of gas. The vacation they have planned will cover 1,820 miles. How many gallons of gas will that take?
Round your answer to one decimal place, if necessary.
__________ gal
Round your answer to one decimal place, if necessary.
__________ gal
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