Question 1

Brian Smith sells sets of movie posters ($12)and baseball cards ($8)at a local flea market. Last Sunday, Brian's total sales were $840. People bought 4 times as many movie posters as baseball cards. How many of each did Brian sell? Check your answer.

Accepted Answer

Use the blueprint aid:
 11eb6926_6ec2_b5b7_bb3a_535f1e4de937_TB8249_00 11eb6926_6ec2_dcc8_bb3a_2fd57fb2c6b9_TB8249_00 11eb6926_6ec2_dcc9_bb3a_7b4aa6d8054d_TB8249_00 11eb6926_6ec2_dcca_bb3a_43950cf7ca36_TB8249_00 11eb6926_6ec2_dccb_bb3a_67b167833e43_TB8249_00

Question 2

Marika is 8 times Barry's age. If the difference in their age is 7 years, how old is Marika?

Accepted Answer

11eb6926_6ec4_155a_bb3a_7bd0b90825f6_TB8249_00 If Barry's age is B, Marika's age is 8B, so the difference in their ages is 8B - B = 7, 7B = 7, or B = 1. Barry then is 1, and Marika is seven years older, or 8.

Question 3

If Sears Auto Center sells six times as many batteries as Firestone and their difference in sales is 250,000 batteries, how many batteries did each sell?

Accepted Answer

Use the blueprint aid:
 11eb6926_6ec2_407d_bb3a_593bda53fa1e_TB8249_00 11eb6926_6ec2_407e_bb3a_9d26282c9459_TB8249_00 11eb6926_6ec2_407f_bb3a_13769293568c_TB8249_00 11eb6926_6ec2_6790_bb3a_8947034e5502_TB8249_00 11eb6926_6ec2_6791_bb3a_0fe67dc344ff_TB8249_00

Question 4

Peter Mabet sold a total of 400 oatmeal ($1.50)and wheat ($2)breads during the Labor Day weekend. How many of each did Peter sell if total sales were $700? Check your answer. (Let Wheat = W.)

Accepted Answer

Use the blueprint aid:
 11eb6926_6ec3_03dc_bb3a_7b68f14cb21d_TB8249_00 11eb6926_6ec3_2aed_bb3a_3b8ee4e2c0c7_TB8249_00 11eb6926_6ec3_2aee_bb3a_63eb536393a5_TB8249_00 11eb6926_6ec3_2aef_bb3a_c7a67dbcd8e6_TB8249_00 11eb6926_6ec3_2af0_bb3a_09af95904e9d_TB8249_00 11eb6926_6ec3_5201_bb3a_a78fc3752889_TB8249_00 11eb6926_6ec3_5202_bb3a_c3b087e544f8_TB8249_00

Question 5

8 (A - 5)= 70

Accepted Answer

Multiply everything in the parentheses times 8 to get 8A - 40 = 70. Then add 40 to both sides to get 8A = 110. Finally divide both sides by 8.

Question 6

$\frac {\text {  1}} { \text { 7} }$ of all sales were for cash. If cash sales were $28,000, what were the total sales?

Accepted Answer

The answer of \(\frac {\text {  1}} { \text...

Question 7

B + 40 = 90

Accepted Answer

Subtract 40 from both sides.

Question 8

Runyon Co. sells T-shirts ($4)and shorts ($5). If total sales were $850 and people bought 3 times as many T-shirts as shorts, what would be the number of T-shirts and shorts sold? A. Number of T-shirts. B. Number of shorts.

Accepted Answer

11eb6926_6ec4_155b_bb3a_b14c73dee632_TB8249_00 12S + 5S = 850; 17S = 850; S = 50; 3S = 150

Question 9

Jim Murray and Al Sming sold a total of 600 camcorders. Jim sold 5 times as many camcorders as Al. How many did each sell?

Accepted Answer

Use the blueprint aid:
 11eb6926_6ec2_8ea2_bb3a_0338432de55a_TB8249_00 11eb6926_6ec2_8ea3_bb3a_91525dbbeebd_TB8249_00 11eb6926_6ec2_8ea4_bb3a_69c5b3ef429e_TB8249_00 11eb6926_6ec2_8ea5_bb3a_3be935428e7c_TB8249_00 11eb6926_6ec2_b5b6_bb3a_97cb1e00b4ba_TB8249_00

Question 10

Ryan Small budgets 1/8 of his weekly salary for food. Ryan's food bill is $80. What is his weekly salary?

Accepted Answer

Use the blueprint aid:
 11eb6926_6ec2_196a_bb3a_714bb299a17c_TB8249_00 11eb6926_6ec2_196b_bb3a_b3f961a67ca3_TB8249_00 11eb6926_6ec2_196c_bb3a_1325a3c9f1b2_TB8249_00

Question 11

10A - 20 = 4A + 80 (answer to closest hundredth).

Accepted Answer

Subtract 4A from both sides to get 6A - 20 = 80. Then, add 20 to both sides to get 6A = 100. Divide both sides by 6 and round to the nearest hundredth.

Question 12

20A - 40 = 8A + 160 (answer to nearest hundredth).

Accepted Answer

Add 40 to both sides and subtract 8a from both sides, 12a = 200, divide both sides by 12, and round to nearest hundredth.

Question 13

1,080 = B + 30

Accepted Answer

Subtract 30 from both sides.

Question 14

A furniture company produces 4 times as many beds on shift 2 as on shift 1. If a total of 1,000 beds were produced, how many were produced on each shift? A. Number produced on Shift 1. B. Number produced on Shift 2.

Accepted Answer

11eb6926_6ec3_a024_bb3a_8711ecd9ab6f_TB8249_00 A + 4A = 1000; 5A = 1000; A = 200

Question 15

7B - 70 = 140

Accepted Answer

Add 70 to both sides and divide both sides by 7.

Question 16

A + 20 = 55

Accepted Answer

Subtract 20 from both sides.

Question 17

5A - 10 = 90

Accepted Answer

Add 10 to both sides and divide both sides by 5.

Question 18

10 (C - 7)= 30

Accepted Answer

Multiply everything in the parentheses by 10, 10C - 70 = 30, add 70 to both sides to get 10C = 100, and then divide by 10.

Question 19

Over the past month, 700 trucks were sold. Abe sold 6 times as many as Joe. How many did each sell?
A. Number Abe sold. B. Number Joe sold

Accepted Answer

11eb6926_6ec3_a023_bb3a_512a2194ee7b_TB8249_00 T + 6T = 700; 7T = 700; T = 100; 6T = 600.

Question 20

2,015 = Q + 90

Accepted Answer

Subtract 90 from both sides.

Quiz 5: Solving for the Unknown: a How-To Approach for Solving Equations