Solving Multi-Step Math Problems Flashcards

A sporting goods store buys helmets for $32 each and sells them at a 75% markup. If the store sold 15 helmets this week, what was the total revenue from helmet sales?

Answer: $840

Selling price = $32 × 1.75 = $56; total revenue = 15 × $56 = $840.

A town's population was 45,000 in 2020. It grew by 4% in 2021 and then by 5% in 2022. What was the population at the end of 2022?

Answer: 49,140

After 2021: 45,000 × 1.04 = 46,800; after 2022: 46,800 × 1.05 = 49,140.

A rope is 7.2 meters long. It is cut into 3 equal pieces, and then one of those pieces is cut in half. What is the length of the shortest piece?

Answer: 1.2 meters

Each of the 3 equal pieces = 7.2 ÷ 3 = 2.4 meters; one piece cut in half = 2.4 ÷ 2 = 1.2 meters.

A library charges $0.25 per day for overdue books with a maximum fine of $5.00 per book. If Emma returns 3 books that are each 12 days overdue, how much does she owe?

Answer: $9.00

Fine per book = 12 × $0.25 = $3.00, which is under the $5.00 cap; total = 3 × $3.00 = $9.00.

A triangle has a perimeter of 54 cm. The longest side is twice the shortest side, and the third side is 6 cm longer than the shortest side. What is the length of the longest side?

Answer: 24 cm

Let shortest side = x; then 2x + (x + 6) + x = 54; 4x + 6 = 54; 4x = 48; x = 12; longest side = 2 × 12 = 24 cm.

A factory produces 800 units in an 8-hour shift. Due to a new process, production increased by 15%. How many units does the factory now produce in a 5-hour shift?

Answer: 575 units

Original rate = 800 ÷ 8 = 100 units/hr; new rate = 100 × 1.15 = 115 units/hr; in 5 hrs = 5 × 115 = 575 units.

A school held a bake sale. Cupcakes sold for $2.50 each and cookies sold for $1.00 each. They sold 3 times as many cookies as cupcakes and earned $275 total. How many cupcakes were sold?

Answer: 50 cupcakes

Let c = cupcakes sold; cookies = 3c; revenue: 2.50c + 1.00(3c) = 5.50c = $275; c = 275 ÷ 5.50 = 50 cupcakes.