Emma had $165 more than David. Emma spent
56 of her money and David spent
47 of his money. In the end, David and Emma had the same amount of money left. Find the amount of money David had at first.
| |
Emma |
David |
More |
Before |
6x3 =
18 u |
7 u |
11 u |
Change |
- 5x3 =
- 15 u |
- 4 u |
|
After |
1x3 =
3 u |
3 u |
|
Fraction of money that Emma left
= 1 -
56 =
16 Fraction of money that David left
= 1 -
47 =
37 The amount of money that David and Emma had in the end is the same. Make the amount of money that David and Emma had in the end the same. LCM of 1 and 3 is 3.
Amount that Emma had more than David at first
= 18 u - 7 u
= 11 u
11 u = 165
1 u = 165 ÷ 11 = 15
Amount that David had at first
= 7 u
= 7 x 15
= $105
Answer(s): $105
