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Paula removed 4/5 of the DVDs from a new box of DVDs. Sam removed 7/10 of...

Paula removed 4/5 of the DVDs from a new box of DVDs. Sam removed 7/10 of the DVDs that remained in the box. If Sam removed 28 DVDs from the box, how many DVDs did Paula remove? (Hint: Draw a picture!)

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Answer #1

Let, the number of DVDs in the box be N

The related figure is as shown followed by the calculations

Now, Paula removed (4/5)N DVDs

So, DVDs remaining in the box = N - (4/5)N = N/5

Again, Sam removed (7/10)×(N/5) DVDs from the remaining DVDs

It is given that San removed 28 DVDs

Hence, (N/5)×(7/10) = 28

==> N = 200

Now, we have to find the no. of DVDs Paula removed

But, no. Of DVDs Paula removed = (4/5)N = (4/5)×200 = 160 DVDs

Hence, Paula removed 160 DVDs

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