Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 1

Question 1

A car travels 315 miles on 9 gallons of gas. At this rate, how many miles can the car travel on 15 gallons?

Accepted Answer

525

Answer

The unit rate is 315 ÷ 9 = 35 miles per gallon; 35 × 15 = 525 miles.

Question 2

A recipe calls for 3 cups of flour for every 2 cups of sugar. If a baker uses 15 cups of flour, how many cups of sugar are needed?

Accepted Answer

10

Answer

The flour-to-sugar ratio is 3:2, so sugar = (2/3) × 15 = 10 cups.

Question 3

A train travels at 90 kilometers per hour. How many meters does it travel in 40 seconds? (1 km = 1,000 m; 1 hour = 3,600 seconds)

Accepted Answer

1,000 m

Answer

90 km/hr = 90,000 m / 3,600 s = 25 m/s; 25 × 40 = 1,000 m.

Question 4

A map uses a scale of 1 inch = 25 miles. On the map, two cities are 3.6 inches apart. What is the actual distance, in miles, between the two cities?

Accepted Answer

90

Answer

Actual distance = 3.6 × 25 = 90 miles.

Question 5

A solution is 20% salt by weight. How many grams of salt are in 350 grams of the solution?

Accepted Answer

70 g

Answer

0.20 × 350 = 70 grams of salt.

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