Solving Multi-Step Math Problems Flashcards

A train travels at 60 mph for 2.5 hours, then at 80 mph for 1.5 hours. What is the total distance traveled?

Answer: 270 miles

First leg: 60 × 2.5 = 150 miles; second leg: 80 × 1.5 = 120 miles; total = 150 + 120 = 270 miles.

A shirt originally costs $45. It is on sale for 20% off, and then an additional 10% coupon is applied to the sale price. What is the final price?

Answer: $32.40

After 20% off: $45 × 0.80 = $36; after additional 10% off: $36 × 0.90 = $32.40.

A tank is being filled by two pipes. Pipe A fills 45 gallons per minute and Pipe B fills 30 gallons per minute. The tank holds 900 gallons and is currently 40% full. How many minutes will it take to fill the tank completely?

Answer: 7.2 minutes

40% of 900 = 360 gallons already filled; remaining = 540 gallons; combined rate = 45 + 30 = 75 gal/min; time = 540 ÷ 75 = 7.2 minutes.

David scored 78, 85, and 91 on three tests. What score does he need on his fourth test to have an average of exactly 85?

Answer: 86

Target total for 4 tests = 85 × 4 = 340; current total = 78 + 85 + 91 = 254; needed score = 340 − 254 = 86.

A farmer plants corn in ⅔ of his 180-acre field and soybeans in ¼ of the remaining land. How many acres are planted with soybeans?

Answer: 15 acres

Corn uses ⅔ × 180 = 120 acres; remaining = 60 acres; soybeans = ¼ × 60 = 15 acres.

A box contains red and blue marbles. There are 48 marbles total, and the ratio of red to blue is 5:3. How many more red marbles are there than blue marbles?

Answer: 12 marbles

Each part = 48 ÷ 8 = 6; red = 5 × 6 = 30, blue = 3 × 6 = 18; difference = 30 − 18 = 12 marbles.

A printing machine produces 1,200 flyers per hour. After 3 hours, the machine breaks down and is repaired in 45 minutes. It then runs for another 2 hours. How many flyers were produced in total?

Answer: 6,000 flyers

Flyers before breakdown = 3 × 1,200 = 3,600; flyers after repair = 2 × 1,200 = 2,400; total = 3,600 + 2,400 = 6,000.