Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 5

Question 1

The unit price of brand X juice is $0.08 per ounce and brand Y juice is $0.06 per ounce. How much cheaper per gallon is brand Y than brand X? (1 gallon = 128 ounces)

Accepted Answer

$2.56

Answer

Price difference per ounce = $0.08 − $0.06 = $0.02; per gallon = 0.02 × 128 = $2.56.

Question 2

Maria drives 330 miles in 5.5 hours. Ben drives at a speed 10 mph faster than Maria. How many miles does Ben drive in 4 hours?

Accepted Answer

280 miles

Answer

Maria's speed = 330 ÷ 5.5 = 60 mph; Ben's speed = 70 mph; Ben's distance = 70 × 4 = 280 miles.

Question 3

A 45-gram sample of a substance contains 0.9 grams of a trace element. How many grams of the trace element would be in a 300-gram sample of the same substance?

Accepted Answer

6 g

Answer

Ratio = 0.9 ÷ 45 = 0.02; trace element in 300 g = 0.02 × 300 = 6 g.

Question 4

A faucet drips at a rate of 15 milliliters per minute. How many liters does the faucet drip in one full day? (1 L = 1,000 mL; 1 day = 1,440 min)

Accepted Answer

21.6 L

Answer

Total mL = 15 × 1,440 = 21,600 mL = 21.6 L.

Question 5

The ratio of cats to dogs in an animal shelter is 7:4. If there are 77 cats, how many animals are in the shelter in total?

Accepted Answer

121

Answer

Dogs = (4/7) × 77 = 44; total = 77 + 44 = 121.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 5