Question

3) Solve these problems that have more than one answer.

A) Mary read 3 times the amount of books as Carey over the summer. Carey read twice as
many books as Barry. If the students read 405 books combined, how many more books did
Mary read than Barry?
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Answer 1

the answer should be 225

Answer 2

225

Explanation:

Mary = 3x (3 times Carey)

Carey = x

Barry = x/2 (Because Carey read twice as many as Barry, it means he read half the amount Carey did)

3x + x + x/2 = 405

4x + x/2 = 405

8x/2 + x/2 (treat these as fractions) = 405

9x/2 = 405

9x = 810 (cross multiply)

x = 90

Mary = 3(90) 270

Carey = 90

Barry = 90/2 45

Mary - Barry

270 - 45 = 225

Hope this helps! :)