Gabriel, Ryan and Xavier shared $205. During a shopping trip, Gabriel spent
25 of his share, Ryan spent
34 of his share and Xavier spent
13 of his share. Given that all three boys each spent the same amount of money, how much more money do Gabriel and Ryan have than Xavier in the end?
|
Gabriel |
Ryan |
Xavier |
Total |
Before |
5x3 = 15 u |
4x2 = 8 u |
3x6 = 18 u |
$205 |
Change |
- 2x3 = - 6 u |
- 3x2 = - 6 u |
- 1x6 = - 6 u |
|
After |
3x3 = 9 u |
1x2 = 2 u |
2x6 = 12 u |
|
The amounts that Gabriel, Ryan and Xavier spent is the same. Make the amounts that each boy spent the same. LCM of 2, 3 and 1 is 6.
Amounts that the 3 boys had at first
= 15 u + 8 u + 18 u
= 41 u
41 u = 205
1 u = 205 ÷ 41 = 5
Amount that Gabriel and Ryan have in the end
= 9 u + 2 u
= 11 u
Amount that Gabriel and Ryan have more than Xavier in the end
= 11 u - 12 u
= -1 u
= -1 x 5
= $-5
Answer(s): $-5