In a class, 20 children were sharing equally the cost of a present for their teacher. When 4 of the children decided not to contribute, each of the other children had to pay $1.50 more. How much, in dollars, did the present cost?
- 50
- 80
- 100
- 120
Explanation
- Originally, 20 students shared the cost:
Each paid = x / 20
- When 4 students backed out, only 16 shared the cost:
Each paid = x / 16
We're told the new amount is $1.50 more than the original amount:
x / 16 - x / 20 = 1.5
LCM of 16 and 20 = 80, so:
(5x - 4x) / 80 = 1.5
x / 80 = 1.5
Multiply both sides by 80:
x = 1.5 × 80 = 120
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