Winnie had $105 more than Gabriel. Winnie spent
34 of her money and Gabriel spent
13 of his money. In the end, Gabriel and Winnie had the same amount of money left. Find the amount of money Gabriel had at first.
| |
Winnie |
Gabriel |
More |
Before |
4x2 =
8 u |
3 u |
5 u |
Change |
- 3x2 =
- 6 u |
- 1 u |
|
After |
1x2 =
2 u |
2 u |
|
Fraction of money that Winnie left
= 1 -
34 =
14 Fraction of money that Gabriel left
= 1 -
13 =
23 The amount of money that Gabriel and Winnie had in the end is the same. Make the amount of money that Gabriel and Winnie had in the end the same. LCM of 1 and 2 is 2.
Amount that Winnie had more than Gabriel at first
= 8 u - 3 u
= 5 u
5 u = 105
1 u = 105 ÷ 5 = 21
Amount that Gabriel had at first
= 3 u
= 3 x 21
= $63
Answer(s): $63
