Question

A musician performed at three local fairs. At the first he doubled his money and spent

$30. At the second he tripled his money and spent $54. At the third, he quadrupled his
money and spent $72. In the end he had $48 left. How much did he have before
performing at the fairs?

Answer 1

The Musician had $29 before performing at the fairs

Explanation:

Let the initial amount musician has be x

At the first musician doubled his money and spent

$30 , this can be written as

2(x) -30---------------------------------(1)

At the second he tripled his money and spent $54.

3(2x -30) - 54

=> 6x-90-54

=> 6x- 144--------------------------------(2)

At the third, he quadrupled his money and spent $72

4( 6x- 144) - 72

24x - 576 - 72

24x -648-------------------------------(3)

At-last he had $48

24x -648 = 48

24x = 48+ -648

24x =696

x =
`(696)/(24)`

x = 29