Solving Multi-Step Math Problems Flashcards

A cell phone plan charges $25 per month plus $0.10 per text message. In January, Marcus sent 340 texts, and in February he sent 210 texts. How much did he pay in total for both months?

Answer: $105

January: $25 + 340 × $0.10 = $25 + $34 = $59; February: $25 + 210 × $0.10 = $25 + $21 = $46; total = $59 + $46 = $105.

A class of 28 students took a field trip. The cost per bus is $120 and each bus holds a maximum of 14 students. The school also charges each student $8 for admission. What is the total cost of the field trip?

Answer: $464

Buses needed = ⌈28 ÷ 14⌉ = 2 buses; bus cost = 2 × $120 = $240; admission = 28 × $8 = $224; total = $240 + $224 = $464.

An athlete runs at 8 mph for 30 minutes, walks at 3 mph for 20 minutes, then sprints at 12 mph for 10 minutes. What is the total distance covered?

Answer: 7 miles

Running: 8 × (30/60) = 4 miles; walking: 3 × (20/60) = 1 mile; sprinting: 12 × (10/60) = 2 miles; total = 4 + 1 + 2 = 7 miles.

A store manager wants to display 252 cans equally on shelves. Each shelf holds 18 cans and each shelf unit has 4 shelves. How many shelf units does the manager need?

Answer: 4 units

Total shelves needed = 252 ÷ 18 = 14 shelves; shelf units needed = 14 ÷ 4 = 3.5, so 4 units are required (must round up).

The temperature dropped from 14°F to −8°F overnight, then rose 5°F by noon. What was the temperature at noon?

Answer: −3°F

Starting at 14°F, dropping to −8°F is a change of −22°F; then rising 5°F gives −8 + 5 = −3°F.

Kevin saves $55 per week. After 8 weeks he spends $140 on shoes and $95 on a jacket. How much money does Kevin have left?

Answer: $205

Total saved = 8 × $55 = $440; total spent = $140 + $95 = $235; remaining = $440 − $235 = $205.

A pizza is cut into 12 equal slices. The Chen family eats ⅓ of the pizza at lunch and ¼ of the pizza at dinner. How many slices are left?

Answer: 5 slices

Eaten at lunch = ⅓ × 12 = 4 slices; eaten at dinner = ¼ × 12 = 3 slices; remaining = 12 − 4 − 3 = 5 slices.