Vanessa had $126 more than Ethan. Vanessa spent
56 of her money and Ethan spent
35 of his money. In the end, Ethan and Vanessa had the same amount of money left. Find the amount of money Ethan had at first.
| |
Vanessa |
Ethan |
More |
Before |
6x2 =
12 u |
5 u |
7 u |
Change |
- 5x2 =
- 10 u |
- 3 u |
|
After |
1x2 =
2 u |
2 u |
|
Fraction of money that Vanessa left
= 1 -
56 =
16 Fraction of money that Ethan left
= 1 -
35 =
25 The amount of money that Ethan and Vanessa had in the end is the same. Make the amount of money that Ethan and Vanessa had in the end the same. LCM of 1 and 2 is 2.
Amount that Vanessa had more than Ethan at first
= 12 u - 5 u
= 7 u
7 u = 126
1 u = 126 ÷ 7 = 18
Amount that Ethan had at first
= 5 u
= 5 x 18
= $90
Answer(s): $90
