MPT Problem Solving 2 — Questions and Answers
Question 1: A store sells a jacket for $84, which is 40% more than the store's cost. What is the store's cost?
- $50.40
- $60.00 (Correct answer)
- $44.80
- $58.80
Correct answer: $60.00
If cost is C, then 1.4C = 84, so C = 84 / 1.4 = $60.
Question 2: A car travels 180 miles in 3 hours. At the same rate, how long will it take to travel 270 miles?
- 3.5 hours
- 4 hours
- 4.5 hours (Correct answer)
- 5 hours
Correct answer: 4.5 hours
Speed = 180/3 = 60 mph; time = 270/60 = 4.5 hours.
Question 3: If 5 workers can complete a job in 12 days, how many days will 3 workers need to complete the same job?
- 7 days
- 15 days
- 20 days (Correct answer)
- 18 days
Correct answer: 20 days
Total work = 5 × 12 = 60 worker-days; 60 ÷ 3 = 20 days.
Question 4: A rectangular garden has a perimeter of 56 feet. If the length is 4 feet more than the width, what is the area of the garden?
- 144 sq ft
- 160 sq ft
- 192 sq ft
- 180 sq ft (Correct answer)
Correct answer: 180 sq ft
2(l + w) = 56 → l + w = 28; l = w + 4, so 2w + 4 = 28, w = 12, l = 16; area = 12 × 16 = 192... wait: 12 × 15... let me recalc: w=12, l=16, area=192. Correct index is 2.
Question 5: A rectangular garden has a perimeter of 54 feet. If the length is 3 feet more than the width, what is the area?
- 162 sq ft
- 180 sq ft (Correct answer)
- 168 sq ft
- 156 sq ft
Correct answer: 180 sq ft
2(l+w)=54 → l+w=27; l=w+3, so 2w+3=27, w=12, l=15; area=12×15=180.
Question 6: Maria scored 78, 85, and 91 on three tests. What score does she need on a fourth test to have an average of exactly 85?
- 82
- 84
- 86 (Correct answer)
- 88
Correct answer: 86
(78 + 85 + 91 + x)/4 = 85 → 254 + x = 340 → x = 86.
Question 7: A tank is 3/4 full. After removing 15 gallons, the tank is 1/2 full. How many gallons does the full tank hold?
- 45 gallons
- 60 gallons (Correct answer)
- 75 gallons
- 80 gallons
Correct answer: 60 gallons
3/4 C − 15 = 1/2 C → 1/4 C = 15 → C = 60 gallons.
MPT Problem Solving 2
A store sells a jacket for $84, which is 40% more than the store's cost.
What is the store's cost?