Math Problem Statement

A printer in the school computer lab prints 56 pages in 4 minutes. At this rate how many pages does it print in 7 minutes?

Solution

To determine how many pages the printer can print in 7 minutes, we'll use the concept of unit rates.

  1. Calculate the printing rate per minute:

    Rate per minute=56 pages4 minutes=14 pages per minute\text{Rate per minute} = \frac{56 \text{ pages}}{4 \text{ minutes}} = 14 \text{ pages per minute}

  2. Calculate the number of pages printed in 7 minutes:

    Pages in 7 minutes=14 pages per minute×7 minutes=98 pages\text{Pages in 7 minutes} = 14 \text{ pages per minute} \times 7 \text{ minutes} = 98 \text{ pages}

Thus, the printer will print 98 pages in 7 minutes.

Would you like more details or have any questions?

Here are some related questions for practice:

  1. How many pages would the printer print in 10 minutes?
  2. If the printer worked for 30 minutes at the same rate, how many pages would it print?
  3. How many minutes would it take to print 196 pages?
  4. If the printer's speed increased by 50%, how many pages would it print in 7 minutes?
  5. How many pages would be printed in half an hour?

Tip: When working with rates, always calculate the unit rate first (e.g., pages per minute) to make solving related problems easier.

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Math Problem Analysis

Mathematical Concepts

Unit Rate
Proportional Reasoning

Formulas

Rate per minute = Total pages / Total minutes
Total pages = Rate per minute * Total minutes

Theorems

Proportionality Theorem

Suitable Grade Level

Grades 5-7