Emily had $720 less than Warren. Emily spent
17 of her money and Warren spent
35 of his money. In the end, Warren and Emily had the same amount of money left. Find the amount of money Warren had at first.
|
Emily |
Warren |
Difference |
Before |
7x1 = 7 u |
5x3 = 15 u |
8 u |
Change |
- 1x1 = - 1 u |
- 3x3 = - 9 u |
|
After |
6x1 = 6 u |
2x3 = 6 u |
|
Fraction of Emily's money left
= 1 -
17 =
67 Fraction of Warren's money left
= 1 -
35 =
25Warren and Emily had the same amount of money in the end. Make the numerators the same. LCM of 6 and 2 is 6.
67 of Emily's money =
25 of Warren's money
67 of Emily's money =
615 of Warren's money
Amount that Emily had at first = 7 u
Amount that Warren had at first = 15 u
Amount that Emily had less than Warren had at first
= 15 u - 7 u
= 8 u
8 u = 720
1 u = 720 ÷ 8 = 90
Amount that Warren had at first
= 15 u
= 15 x 90
= $1350
Answer(s): $1350