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Question

Difficulty: EasyRatios, Rates, and Proportions

A printer prints 2424 pages in 33 minutes. At this constant rate, how many pages can the printer print in 1010 minutes?

  1. A
    1.25
  2. B
    72
  3. 80Answer
  4. D
    240

Answer

80
The correct answer is 80. The printer's rate of printing is determined by dividing 24 pages by 3 minutes, which is 8 pages per minute. Multiplying this rate of 8 pages per minute by 10 minutes gives a total of 80 pages printed.

Step-by-Step Solution

1
Calculate the unit rate of pages printed per minute.
24÷3=824 \div 3 = 8 pages per minute
Dividing the total pages by the total minutes gives the constant rate of printing.
2
Multiply the unit rate by the new amount of time.
8×10=808 \times 10 = 80 pages
Multiplying the pages per minute by 10 minutes gives the total number of pages printed in that time.

Key Concept

Calculating and applying a unit rate to solve a proportion.
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Topics

Ratios, Rates, and Proportions

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