Hilda had $180 more than Charlie. Hilda spent
34 of her money and Charlie spent
38 of his money. In the end, Charlie and Hilda had the same amount of money left. Find the amount of money Charlie had at first.
| |
Hilda |
Charlie |
More |
Before |
4x5 =
20 u |
8 u |
12 u |
Change |
- 3x5 =
- 15 u |
- 3 u |
|
After |
1x5 =
5 u |
5 u |
|
Fraction of money that Hilda left
= 1 -
34 =
14 Fraction of money that Charlie left
= 1 -
38 =
58 The amount of money that Charlie and Hilda had in the end is the same. Make the amount of money that Charlie and Hilda had in the end the same. LCM of 1 and 5 is 5.
Amount that Hilda had more than Charlie at first
= 20 u - 8 u
= 12 u
12 u = 180
1 u = 180 ÷ 12 = 15
Amount that Charlie had at first
= 8 u
= 8 x 15
= $120
Answer(s): $120
