GMAT Quantitative: Algebraic Word Problems 3

Question 1

A store marks up a $40 item by 50%, then offers 20% off the marked price. What is the final price?

Accepted Answer

$48

Answer

40 × 1.5 = 60, then 60 × 0.8 = 48.

Question 2

The average of 5 numbers is 14. If a sixth number is added and the average becomes 16, what is the sixth number?

Accepted Answer

26

Answer

New total is 6 × 16 = 96, old total is 70, so the sixth number is 26.

Question 3

A boat travels 30 miles downstream in 2 hours and returns upstream in 3 hours. What is the speed of the current?

Accepted Answer

2.5 mph

Answer

Downstream 15 = b+c, upstream 10 = b−c, so c = 2.5.

Question 4

If a number is tripled and then 7 is subtracted, the result is 20. What is the number?

Accepted Answer

9

Answer

3x − 7 = 20 gives 3x = 27, so x = 9.

Question 5

Two cars start from the same point traveling in opposite directions at 50 and 60 mph. After how many hours are they 330 miles apart?

Accepted Answer

3

Answer

110t = 330, so t = 3.

GMAT Practice Test