Sophie can type 128 words in 3 minutes. How many minutes will it take her to type 576 words?

It will take her 13 and a half minutes to type 576 words.

Step-by-step explanation:

To solve this problem, we must write a proportion.

Okay, so we know that 128 words equal 3 minutes. We also know that we need to figure out how long it would take to type 576 words.

But how do we figure that out? Well, all we need to do is figure out how we got from 128 to 576, and then perform the same operation on the number three!

In order to do that, we divide 576 by 128, which gives us 4.5. So to get from 128 to 576, you multiply by 4.5. Now remember, in a proportion, you need to do the same thing to both the top and the bottom. Otherwise, you're changing the value.

So, we end up with this:

Meaning that if she types 128 words in 3 minutes, then she can type 576 words in 13.5 minutes.

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