Problem Solving: Word Problems Flashcards

A shirt originally costs $80 and is on sale for 25% off. What is the sale price?

Answer: $60

Discount = 0.25 × $80 = $20, so sale price = $80 − $20 = $60.

A store buys items for $40 and sells them for $56. What is the percent markup?

Answer: 40%

Markup = (56 − 40) / 40 × 100 = 16/40 × 100 = 40%.

Tap A fills 1/3 of a pool per hour, Tap B fills 1/4 per hour, and a drain removes 1/12 per hour. How long to fill the pool with all three open?

Answer: 2 hours

Net rate = 1/3 + 1/4 − 1/12 = 4/12 + 3/12 − 1/12 = 6/12 = 1/2 per hour, so time = 2 hours.

A rectangular garden is 12 ft long and 8 ft wide. A 2-ft-wide path surrounds the garden. What is the area of the path alone?

Answer: 96 sq ft

Outer rectangle = 16 × 12 = 192 sq ft; garden = 96 sq ft; path area = 192 − 96 = 96 sq ft.

A bag contains balls that are 1/3 red, 1/4 blue, and the rest green. What fraction of the balls are green?

Answer: 5/12

Green = 1 − 1/3 − 1/4 = 12/12 − 4/12 − 3/12 = 5/12.

Maria types 60 words per minute on a 3,600-word report. She takes a 10-minute break after every 30 minutes of typing. How long does the task take in total?

Answer: 70 minutes

Typing time = 60 minutes, split into two 30-minute sessions with one 10-minute break in between, totaling 70 minutes.

The average of 5 numbers is 18. After removing one number, the average of the remaining 4 is 20. What is the removed number?

Answer: 10

Sum of 5 = 90; sum of 4 = 80; removed number = 90 − 80 = 10.