At first, Vincent, Caden and Perry had the same amount of money. After Perry spent some of his money, Vincent spent
27 of his money and Caden spent
12 of his money, Vincent had $60 more than Caden. In the end, the total amount of money the three boys had left was $424. How much money did Perry spend?
|
Vincent |
Caden |
Perry |
Total |
Before |
7x2 = 14 u |
2x7 = 14 u |
14 u |
|
Change |
- 2x2 = - 4 u |
- 1x7 = - 7 u |
- ? |
|
After |
5x2 = 10 u |
1x7 = 7 u |
|
$424 |
The amount that Vincent and Caden each had at first is the same. Make the amount that they each had the same. LCM of 7 and 2 is 14.
Amount that Vincent had more than Caden in the end
= 10 u - 7 u
= 3 u
3 u = 60
1 u = 60 ÷ 3 = 20
Amount that Vincent and Caden had in the end
= 10 u + 7 u
= 17 u
= 17 x 20
= $340
Amount that Perry had in the end
= 424 - 340
= $84
Amount that Perry had at first
= 14 u
= 14 x 20
= $280
Amount that Perry spent
= 280 - 84
= $196
Answer(s): $196