Problem Solving

Question 1

For a school drama performance, student tickets cost $5 each and adult tickets cost $10 each. The sellers collected $3,570 from 512 tickets sold. Which equation can be used to find c, the number of student tickets sold?

Revolt · Accepted Answer

10(512 – c) + 5c = 3,570

Question 2

If one-third of a number, x, is greater than five less than twice the number, which of the following is true?

Revolt · Accepted Answer

x < 3

Question 3

Read the word problem below.Soni has 196 pencils. If she puts equal amounts of pencils into eight boxes, she has four pencils left. How many pencils does she put in each box? Which strategy could help solve this word problem?

Revolt · Accepted Answer

If x represents the number of pencils per box, solve the equation 8x + 4 = 196.

Question 4

Read the word problem below.A parking garage charges $3 for each of the first three hours. After three hours, the charge is $7 per hour. What is the total cost for five hours of parking? Which strategy would help solve this word problem?

Revolt · Accepted Answer

Write the equation (3 $3) + (2 $7) = total cost of five hours.

Question 5

The length of a rectangle is three times longer than its width. The perimeter of the rectangle is 16 feet. If x represents the width of the rectangle in feet, which equation can be used to find its value?

Revolt · Accepted Answer

3x + 3x + x + x = 16

Question 6

Read the word problem below.Jill had $90. She bought a skirt that normally costs $42 but was on sale for half price. She also bought a T-shirt that was $8 off its regular price. Before sales tax, the total cost of the clothes was $31. What was the regular price of the T-shirt? What question is being asked in this word problem?

Revolt · Accepted Answer

How much does the T-shirt normally cost?

Question 7

Read the word problem below.Chan rows at a rate of eight miles per hour in still water. On Wednesday, it takes him three hours to row upstream from his house to the park. He rows back home, and it takes him two hours. What is the speed of the current? Which of the following is a clue that would help solve this word problem?

Revolt · Accepted Answer

The rate of Chan’s rowing in still water is 8 mph.

Question 8

Iola has $75. She buys a pair of shoes on sale for one-half off and a pair of socks for $6. She has $32 left. Which equation can be used to find x, the regular price of the shoes?

Revolt · Accepted Answer

One-half x + 6 + 32 = 75

Question 9

Two times a number plus four is 22. What is the number?

Revolt · Accepted Answer

9

Question 10

Sorrel has 54 beads, and 16 of them are red. Of the remaining beads, half are yellow and half are green. How many yellow beads does she have?

Revolt · Accepted Answer

19 beads

Problem Solving Answers

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