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Copy machine A copies 6o pages in 45 seconds. Copy machine B copies 75 pages per minute. Whixh copier copies faster, and by how much?​

User MTM
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2 Answers

5 votes
This is an example of a different problem: These kinds of questions" involve what's called "unit rate" or involve "proportions." In either case, the units are extremely important.

"32 copies per minute" is a unit rate. That is, "how many of these for one of those?"

In this problem, "per" means division. There are 60 seconds per minute, so this is:
(32 copies) / (60 seconds)

The question asks, "How many copies does it make in 3 minutes and 45 seconds?"

Note that (copies/minute)*minute results in copies because the minutes cancel out. So,
( (32 copies) / (60 seconds) ) * ( 225 seconds) = 120 copies

This can also be set up as a proportion (because the same rate is assumed).
Let x = number of copies

32/60 copies/second = x / (225 seconds)
x = ((32 copies) / (60 seconds))*(225 seconds) [cross-multiply]
x = 120 copie
User Chakra
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2 votes

Answer:

A is faster by 5 pages

Explanation:

Machine A= 60 pages in 45seconds

Divide by 15

4 pages in 3 seconds

Multiply by 20

80 pages in a minute

Machine A = 80 pages or min

Machine B = 75 per min

A is faster by 5 pages

User Evan Frisch
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