Answer
28 months
Work Step by Step
The monthly saving: $112 - 88 = 24$
Define: Let m = the number of months
Relate: Savings = $24m$
Write: $24m = 650$
$m \approx27.083$
Then $24(27.083)=649.992$
In 27 months, the manager will have saved just under $650, so in 28 months, the copier will have paid for itself.