Question

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 left. How many books did each of them donate?

Answer 1

Each person donated 56 books.

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.

Answer 2

They each donated 56 books

Explanation:

O = 176

D = 80

O - a = 5(D - a)

176 - a = 5(80 - a)

176 - a = 400 - 5a

4a = 224

a = 56