Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 6

Question 1

A container is 25% full. After adding 18 liters, it is 70% full. What is the total capacity of the container in liters?

Accepted Answer

40

Answer

18 liters fills 70% − 25% = 45% of capacity; capacity = 18 ÷ 0.45 = 40 liters.

Question 2

A car trip covers 1/4 of the distance in the first hour, and the remaining 90 miles in the next 2 hours. What was the total distance of the trip?

Accepted Answer

120 miles

Answer

The remaining 3/4 of the total equals 90 miles; total = 90 ÷ (3/4) = 120 miles.

Question 3

A 12% acid solution and a 30% acid solution are mixed to make 60 liters of an 18% acid solution. How many liters of the 12% solution are used?

Accepted Answer

40

Answer

Let x = liters of 12% solution: 0.12x + 0.30(60−x) = 0.18(60) → −0.18x = −7.2 → x = 40.

Question 4

If the exchange rate is 1 USD = 0.85 EUR, how many USD would you receive for 51 EUR?

Accepted Answer

60

Answer

USD = 51 ÷ 0.85 = 60.

Question 5

A photograph measures 4 inches by 6 inches. It is enlarged so that the longer side becomes 15 inches. What is the length of the shorter side of the enlarged photo?

Accepted Answer

10 in

Answer

Scale factor = 15 ÷ 6 = 2.5; shorter side = 4 × 2.5 = 10 inches.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 6