Question 1

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 as polo shirts. How many casual shirts did Kohl's sell?

Accepted Answer

Let x be the number of polo shirts sold. Then, 4x is the number of casual shirts sold. The equation for total sales is 9(4x) + 18x = 1080. Simplifying gives 36x + 18x = 1080, or 54x = 1080. Solving for x gives x = 20. Therefore, the number of casual shirts sold is 4x = 80.

Question 2

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

Accepted Answer

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

Question 3

If Sears Roebuck 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

The answer of If Sears Roebuck sells six times as...

Question 4

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 5

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 6

American Airlines reduced its round trip fare from Boston to New York by $45. The sale price was $139. What was the original price?

Accepted Answer

Use the blueprint aid:
 11eb6926_6ec1_f259_bb3a_cf12d8d61a2d_TB8249_00 P - 45 = 139. Add 45 to both sides. P = 184

Question 7

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 8

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

Accepted Answer

The answer of Over the past month, 700 trucks were...

Question 9

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

Accepted Answer

Let x be the number of lightbulbs produced by the second shift. Then the first shift produced 5.5x lightbulbs. The equation is x + 5.5x = 16,250. Solving for x gives x = 2,500. Therefore, the first shift produced 5.5 * 2,500 = 13,750 lightbulbs.

Question 10

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 11

P + 77 = 101; P equals:

Accepted Answer

To solve for P, we need to isolate P on one side of the equation. We can do this by subtracting 77 from both sides: P + 77 - 77 = 101 - 77, which simplifies to P = 24. Therefore, the answer is D.

Question 12

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?

Accepted Answer

The answer of A furniture company produces 4 times as...

Question 13

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 x be the number of textbooks sold by Keller Publishing. Then, Scholastic Books sold 4x textbooks. Together, they sold x + 4x = 5x textbooks. We know that 5x = 7,775, so x = 1,555. Therefore, Scholastic Books sold 4x = 6,220 textbooks. The correct answer is choice C.

Question 14

Andy Foll is 6 times as old as Mel Kaas. Andy is 15 years older than Mel. What is Mel's age?

Accepted Answer

11eb6926_6ec4_d8b3_bb3a_e1a389de1944_TB8249_00 6A - A = 15
5A = 15
A = 3

Question 15

A + 20 = 55

Accepted Answer

Subtract 20 from both sides.

Question 16

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 3/4 for Al. How much will Al receive?

Accepted Answer

The answer of Al Resse and Marci Rey received a...

Question 17

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 W = wheat.)

Accepted Answer

The answer of Peter Mabet sold a total of 400...

Question 18

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 19

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

Joe and Jane put away $80,000 for their child, leaving $100,000 remaining from the estate.

Jane will receive 3/4 of $100,000, which is equal to $75,000.

Joe will receive 1/4 of $100,000, which is equal to $25,000.

Therefore, Jane will receive $75,000 from the estate.

Question 20

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

Accepted Answer

Let x be the number of lightbulbs produced by the second shift. Then the first shift produced 8.5x lightbulbs. The equation is x + 8.5x = 24,700. Solving for x gives x = 2,600.

Quiz 5: Solving for the Unknown: a How to Approach to Solving Equations