Ethan and Gabriel received a total of $675. After Ethan spent
67 of his money and Gabriel spent
34 of his money, Gabriel had 5 times as much money as Ethan. How much money did Gabriel have at first?
|
Ethan |
Gabriel |
Total |
Before |
7 u |
4x5 = 20 u |
27 u |
Change |
- 6 u |
- 3x5 = - 15 u |
|
After |
1 u |
1x5 = 5 u |
|
Comparing Ethan and Gabriel in the end |
1 u |
5 u |
|
The amount that Gabriel had in the end is the same. Make the amount that Gabriel had in the end the same. LCM of 1 and 5 is 5.
Total amount that Gabriel and Ethan had at first
= 7 u + 20 u
= 27 u
27 u = 675
1 u = 675 ÷ 27 = 25
Amount that Gabriel had at first
= 20 u
= 20 x 25
= $500
Answer(s): $500