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Question

Difficulty: EasyDirect Proportions

A machine stamps 4545 metal tags in 33 minutes. At this constant rate, how many tags will the machine stamp in 11 hour?

  1. A
    15
  2. B
    4
  3. 900Answer
  4. D
    90

Answer

The correct answer is 900 tags.
The correct answer is derived by first harmonizing the time units, converting 1 hour to 60 minutes. Next, find the unit rate by dividing 45 tags by 3 minutes, which equals 15 tags per minute. Finally, multiply the 15 tags per minute by the 60 minutes in an hour to get 900 total tags.

Step-by-Step Solution

1
Convert the target time frame into the same units used in the given rate.
1 hour = 60 minutes
Units must match before applying a proportion or unit rate.
2
Calculate the unit rate by dividing the number of tags by the number of minutes.
45 tags / 3 minutes = 15 tags per minute
The unit rate tells you exactly how much is produced in one single unit of time.
3
Multiply the unit rate by the total converted time.
15 tags/minute * 60 minutes = 900 tags
This scales the unit rate up to the total production over the full hour.

Key Concept

Direct Proportions
Estimated Time:1m 0s
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Topics

Direct Proportions

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