CCAT Math Word Problems 4

Question 1

A store sells notebooks for $3.50 each and pens for $1.25 each. If Maria buys 4 notebooks and 6 pens, how much does she spend in total?

Accepted Answer

$18.50

Answer

4 × $3.50 = $14.00, plus 6 × $1.25 = $7.50, totaling $21.50 — wait, that's $21.50, which is answer B; 4×3.5=14, 6×1.25=7.5, 14+7.5=21.50.

Question 2

A factory produces 840 widgets per day working 7 hours. If they need to produce 3,000 widgets, how many full days are required?

Accepted Answer

4 days

Answer

3,000 ÷ 840 ≈ 3.57, so 4 full days are needed.

Question 3

Two pipes fill a tank. Pipe A fills it in 6 hours, Pipe B in 4 hours. How long does it take both pipes together to fill the tank?

Accepted Answer

2.4 hours

Answer

Combined rate = 1/6 + 1/4 = 5/12 per hour, so time = 12/5 = 2.4 hours.

Question 4

A salesperson earns a base salary of $2,400 per month plus 5% commission on sales. If she made $18,000 in sales this month, what are her total earnings?

Accepted Answer

$3,300

Answer

Commission = 5% × $18,000 = $900; total = $2,400 + $900 = $3,300.

Question 5

A car travels 180 miles in 3 hours, then 150 miles in 2 hours. What is the average speed for the entire trip?

Accepted Answer

66 mph

Answer

Total distance = 330 miles, total time = 5 hours; 330 ÷ 5 = 66 mph.

CCAT Practice Test

CCAT Practice Test

CCAT Math Word Problems 4