Bluebook SAT Test Percentages Ratios and Proportions 2

Question 1

On a map, 1 inch represents 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?

Accepted Answer

175 miles

Answer

Distance = 3.5 × 50 = 175 miles.

Question 2

A student scored 45 out of 60 on a test. What percentage did the student score?

Accepted Answer

75%

Answer

Percentage = (45/60) × 100 = 0.75 × 100 = 75%.

Question 3

The ratio of red to blue marbles is 4:7. There are 77 marbles total. How many are red?

Accepted Answer

28

Answer

Total parts = 4+7 = 11. Red = (4/11) × 77 = 28.

Question 4

After a 20% increase, a salary becomes $48,000. What was the original salary?

Accepted Answer

$40,000

Answer

Original × 1.20 = 48,000 → Original = 48,000/1.20 = $40,000.

Question 5

If x:y = 5:8 and y = 40, what is x?

Accepted Answer

25

Answer

5/8 = x/40 → x = 5 × 40/8 = 25.

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