Ratio Question 2 with Solutions

Earlier in the week I went over my method for setting up a ratio, and I gave you three ratio problems to try on your own. You can see that post here: Setting Up a Ratio
Today I would like to give a solution to the second of those three ratio problems. You can see solutions for the first problem here: Ratio Question 1 with Solutions.
Problem 2: A copy machine makes 4800 copies per hour. At this rate, in how many minutes can the copy machine produce 920 copies?
Solution: We identify 2 key words. Let’s choose “copies” and “minutes.”
copies 4800 920
minutes 60 x
At first glance it might seem to make more sense to choose “hours” as our second key word, but choosing the word “minutes” is more efficient because
- The answer that we’re looking for must be in minutes.
- It’s extremely simple to convert 1 hour into 60 minutes.
We now find x by cross multiplying and dividing.
4800/60 = 920/x
4800x = 55200
x = 11.5
So, the answer is 11.5. ⋅
* Quick computation: (920/4800) ⋅ 60 = 11.5.
More Problems with Explanations
If you are preparing for the SAT, ACT, or an SAT math subject test, you may want to take a look at the Get 800 collection of test prep books.
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