Question 1

Jill Co. sells thermometers ($2)and hot water bottles ($6). If total sales were $312 and customers bought 10 times as many thermometers as hot water bottles, what would be the number of hot water bottles sold?

Accepted Answer

Let x be the number of hot water bottles sold. Since customers bought 10 times as many thermometers as hot water bottles, the number of thermometers sold would be 10x. The total sales equation can be written as 2(10x) + 6x = 312. Simplifying the equation gives 26x = 312, which means x = 12. Therefore, the number of hot water bottles sold is 12.

Question 2

In Ryan Corporation, the first shift produced 5 1/2 times as many light bulbs as the second shift. If the total light bulbs produced were 16,250, how many light bulbs were produced on shift 1?

Accepted Answer

Let x be the number of bulbs produced on the second shift.

Then the number of bulbs produced on the first shift is 5 1/2 times this, or 11/2 times x.

We know that the total number of bulbs produced is 16,250, so we can set up an equation:

x + 11/2 x = 16,250

Simplifying this equation, we get:

13/2 x = 16,250

Multiplying both sides by 2/13, we get:

x = 2,500

So the number of bulbs produced on the first shift is:

11/2 x 2,500 = 13,750

Therefore, the answer is D)13,750.

Question 3

Staples has a discount on flash drives and boxes of computer paper. It offers flash drives for $6 each and boxes of computer paper for $40 each box. If total sales on these discount items is $4200 for the week, and customers bought 5 times as many flash drives as boxes of computer paper, how many boxes of computer paper were sold?

Accepted Answer

Let's use algebra to solve the problem.

Let x be the number of boxes of computer paper sold.

According to the problem, customers bought 5 times as many flash drives as boxes of computer paper. So the number of flash drives sold is 5x.

The total sales on these items is $4200:

6(5x) + 40x = 4200

Simplify and solve for x:

30x + 40x = 4200

70x = 4200

x = 60

Therefore, 60 boxes of computer paper were sold.

Question 4

Kohl's sells casual shirts for $9 and polo shirts for $18.00. Total sales were $1,080, and customers bought 4 times as many casual shirts as polo shirts. How many casual shirts did Kohl's sell?

Accepted Answer

Kohl's sold 80 casual shirts. Let the number of polo shirts sold be x. Then, casual shirts sold = 4x. The total sales from polo shirts is $18x and from casual shirts is $9(4x) = $36x. The total sales equation is $18x + $36x = $1080, which simplifies to $54x = $1080. Solving for x gives x = 20 polo shirts. Therefore, the number of casual shirts sold is 4 times 20, which equals 80.

Question 5

Jane sells 8 times as many Volvos as Melissa. If the difference in their sales is 35, how many cars did Jane sell?

Accepted Answer

Let's assume Melissa sold x Volvos. Then Jane sold 8x Volvos. The difference in their sales is 8x-x=7x, which is equal to 35. So, x=5. Therefore, Jane sold 8x5=<<8*5=40>>40 Volvos.

Question 6

Marvin Co. sells pens ($6)and flashlights ($10). If total sales were $624 and customers bought 7 times as many pens as flashlights, what would be the number of pens sold?

Accepted Answer

Let x be the number of flashlights sold. Then the number of pens sold would be 7x (since customers bought 7 times as many pens as flashlights). The total sales can be represented by the equation 10x + 6(7x) = 624. Simplifying this equation yields 52x = 624, which gives x = 12. Therefore, the number of pens sold would be 7x = 84. So the best choice is C.

Question 7

Rick and Ranger sell Toyotas for Tom's Auto. Over the past year they sold 360 cars. Assuming Rick sells 5 times as many as Ranger, how many Toyotas did Ranger sell?

Accepted Answer

Let X be the number of cars Ranger sold. 
According to the problem, Rick sold 5 times as many, so he sold 5X. 
Together they sold 360 cars, so X + 5X = 6X = 360. 
Therefore, X = 60, which is the number of cars Ranger sold.

Question 8

In Johnson Corporation, the first shift produced 8 1/2 times as many light bulbs as the second shift. If the total light bulbs produced were 24,700, how many light bulbs were produced on shift 2?

Accepted Answer

Let the number of light bulbs produced in the second shift be x. Therefore, the first shift produced 8.5x light bulbs. The total production is x + 8.5x = 9.5x = 24,700. Solving for x gives x = 24,700 / 9.5 = 2,600.

Question 9

Match the term with its definition.
-Blueprints

Accepted Answer

Blueprints are often used as teaching aids to convey detailed information, plans, or instructions, making them an effective tool in educational contexts.

Question 10

7G = 112; G equals:

Accepted Answer

To find G, divide 112 by 7, which equals 16.

Question 11

Mike and Bill sell cars for Jangle's Auto. Over the past year they sold 640 cars. Assuming Mike sells 3 times as many as Bill, how many cars did Mike sell?

Accepted Answer

Mike sells 3 times as many cars as Bill, so if we let the number of cars Bill sold be x, then Mike sold 3x cars. Together, they sold x + 3x = 4x cars. Given that they sold 640 cars in total, we have 4x = 640. Solving for x gives x = 160 (the number of cars Bill sold), and thus Mike sold 3 * 160 = 480 cars.

Question 12

Scholastic Books sells 4 times as many textbooks as Keller Publishing; together they sold 7,775 textbooks. How many did Scholastic sell?

Accepted Answer

Let's call the number of textbooks Keller Publishing sold "x". 
According to the problem, Scholastic sold 4 times as many textbooks, so they sold 4x textbooks. 
We know that together they sold 7,775 textbooks, so we can set up an equation: 
4x + x = 7,775 
Simplifying, we get: 
5x = 7,775 
x = 1,555 
So Keller Publishing sold 1,555 textbooks 
And Scholastic sold 4 times as many: 4(1,555) = 6,220 
Therefore, the answer is C.

Question 13

Coffee costs $12 per case, and tea costs $8 per case. If an order comes in for a total of 250 cases for $2,400, what was the specific number of cases of tea?

Accepted Answer

The total cost for coffee and tea is $2,400. Let the number of cases of coffee be x and the number of cases of tea be y. We have two equations: x + y = 250 (total cases) and 12x + 8y = 2400 (total cost). Solving these equations simultaneously, we find that y = 150, which is the number of cases of tea.

Question 14

P + 77 = 101; P equals:

Accepted Answer

To solve for P, we subtract 77 from both sides of the equation: 
P + 77 - 77 = 101 - 77 
P = 24

Question 15

Joe Berry and Jane Rose received a total of $180,000 from a deceased relative's estate. They decided to put away $80,000 in a trust for their child and divide the remainder into 3/4 for Jane and 1/4 for Joe. How much will Jane receive?

Accepted Answer

To find the amount Jane will receive, we first need to subtract the $80,000 in the trust from the total amount: $180,000 - $80,000 = $100,000.

Next, we need to find out how much of this $100,000 will go to Jane and how much will go to Joe. We know that the ratio is 3:1, so we can set up an equation:

3x + 1x = 4x

where x is the common factor.

4x = $100,000

x = $25,000

So Jane will receive 3 times x, or $75,000, and Joe will receive 1 times x, or $25,000. Therefore, the answer is B.

Question 16

A local Walmart sells sweatpants ($7)and jackets ($14). If total sales were $6,160 and customers bought 8 times as many sweatpants as jackets, what would be the number of jackets sold?

Accepted Answer

Let the number of jackets sold be x.
Then the number of sweatpants sold is 8x.
Total sales amount can be expressed as:
14x + 7(8x) = 6160
Solving for x, we get x = 88.
Therefore, the number of jackets sold is 88, which is option C.

Question 17

Al Resse and Marci Rey received a total of $210,000 from a deceased relative's estate. They decided to put away $50,000 in a trust for their child and divide the remainder into 1/4 for Marci and for 3/4 Al. How much will Al receive?

Accepted Answer

Total amount received = $210,000
Amount put away in trust = $50,000
Remaining amount = $210,000 - $50,000 = $160,000
Marci's share = 1/4 of remaining amount = (1/4) x $160,000 = $40,000
Al's share = 3/4 of remaining amount = (3/4) x $160,000 = $120,000. Therefore, Al will receive $120,000.

Question 18

Match the term with its definition.
-Formula

Accepted Answer

A formula is a mathematical expression that shows the relationship between different variables, such as I = P × R × T, which is the formula for calculating simple interest.

Question 19

Lane is 10 times Mel's age. If the difference in their age is 27, how old is Mel?

Accepted Answer

Lane's age = 10 * Mel's age. If the difference is 27, then 10 * Mel's age - Mel's age = 27. Solving for Mel's age, we get Mel's age = 3.

Question 20

Solve the following: 1,000 (X ? 2)= 75,000

Accepted Answer

The answer of Solve the following: 1,000 (X ? 2)=...

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

Jill Co. sells thermometers ($2) and hot water bottles ($6) . If total sales were $312 and customers bought 10 times as many thermometers as hot water bottles, what would be the number of hot water bottles sold?