BSEP Arithmetic Reasoning Word Problems 3 — Questions and Answers
Question 1: A contractor charges $45 per hour for labor plus a flat $75 fee for materials. If a job takes 6 hours, what is the total cost?
- $345 (Correct answer)
- $270
- $315
- $390
Correct answer: $345
$45 × 6 = $270 for labor; $270 + $75 = $345 total.
Question 2: If 5 pounds of coffee costs $22.50, what is the cost per pound?
- $4.50 (Correct answer)
- $4.00
- $5.00
- $3.75
Correct answer: $4.50
$22.50 ÷ 5 = $4.50 per pound.
Question 3: A car traveled 90 miles on 3 gallons of gas. At this rate, how many gallons are needed to travel 270 miles?
- 9 gallons (Correct answer)
- 6 gallons
- 12 gallons
- 7.5 gallons
Correct answer: 9 gallons
90 miles uses 3 gallons, so 270 ÷ 90 × 3 = 9 gallons.
Question 4: Lisa saves $35 each week. How many weeks will it take her to save at least $500?
- 15 weeks (Correct answer)
- 14 weeks
- 16 weeks
- 13 weeks
Correct answer: 15 weeks
500 ÷ 35 ≈ 14.28, so she needs 15 full weeks to have at least $500.
Question 5: Three friends share the cost of a $96 dinner equally. If each person also leaves an $8 tip, how much does each person pay in total?
- $40 (Correct answer)
- $32
- $48
- $36
Correct answer: $40
$96 ÷ 3 = $32 per person for dinner; $32 + $8 = $40 total each.
Question 6: A bag contains red, blue, and green marbles. There are 12 red, 8 blue, and 20 green marbles. What fraction of the marbles are blue?
- 1/5 (Correct answer)
- 2/5
- 3/10
- 1/4
Correct answer: 1/5
Total = 40 marbles; 8 ÷ 40 = 1/5 are blue.
Question 7: A factory produces 840 items in 7 hours. If the factory runs for 10 hours, how many items will it produce?
- 1,200 items (Correct answer)
- 1,000 items
- 1,400 items
- 1,680 items
Correct answer: 1,200 items
Rate = 840 ÷ 7 = 120 items/hour; 120 × 10 = 1,200 items.
BSEP Arithmetic Reasoning Word Problems 3
A contractor charges $45 per hour for labor plus a flat $75 fee for materials.
If a job takes 6 hours, what is the total cost?