Middle School

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Olivia had 176 books and Dawn had 80 books. After each of them donated an equal number of books to an orphanage, Olivia had 5 times as many books as Dawn had left. How many books did each of them donate?

Answer :

Answer:

They each donated 56 books

Step-by-step explanation:

O = 176

D = 80

O - a = 5(D - a)

176 - a = 5(80 - a)

176 - a = 400 - 5a

4a = 224

a = 56

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Rewritten by : Barada

Answer:

Each person donated 56 books.

Step-by-step explanation:

Let d represent the # of books donated by each person. Then:

in Olivia's case, 176-d = 5(80-d). Then 176-d = 400 - 5d.

Solving for d: 4d = 224, and d = 56.

Each person donated 56 books.