Bluebook SAT Test SAT Word Problems Practice 7

Question 1

A phone costs $800. It loses 25% of its value in year 1 and 15% each subsequent year. What is its value after 2 years?

Accepted Answer

$510

Answer

After year 1: $800 × 0.75 = $600. After year 2: $600 × 0.85 = $510.

Question 2

If 5 workers build 4 walls in 6 days, how many days will 6 workers need to build 8 walls at the same rate?

Accepted Answer

10

Answer

Total work = 5 × 6 = 30 worker-days for 4 walls → 7.5 worker-days/wall. For 8 walls with 6 workers: (8 × 7.5)/6 = 10 days.

Question 3

The tens digit of a two-digit number exceeds the units digit by 3. The sum of the digits is 11. What is the number?

Accepted Answer

74

Answer

t − u = 3 and t + u = 11 → t = 7, u = 4. Number = 74.

Question 4

A class of 30 students took a test. Boys averaged 78 and girls averaged 86. The class average was 82. How many boys are in the class?

Accepted Answer

15

Answer

78b + 86(30 − b) = 82 × 30 → 2460 − 8b = 2460 → wait: 78b + 2580 − 86b = 2460 → −8b = −120 → b = 15.

Question 5

Two numbers are in the ratio 5:7. Subtracting 4 from each gives a ratio of 3:5. What is the larger original number?

Accepted Answer

14

Answer

Numbers = 5k and 7k. (5k−4)/(7k−4) = 3/5 → 25k−20 = 21k−12 → k = 2. Larger = 7×2 = 14.

Bluebook SAT Practice Test