Elyse had $420 less than Simon. Elyse spent
14 of her money and Simon spent
23 of his money. In the end, Simon and Elyse had the same amount of money left. Find the amount of money Simon had at first.
|
Elyse |
Simon |
Difference |
Before |
4x1 = 4 u |
3x3 = 9 u |
5 u |
Change |
- 1x1 = - 1 u |
- 2x3 = - 6 u |
|
After |
3x1 = 3 u |
1x3 = 3 u |
|
Fraction of Elyse's money left
= 1 -
14 =
34 Fraction of Simon's money left
= 1 -
23 =
13Simon and Elyse had the same amount of money in the end. Make the numerators the same. LCM of 3 and 1 is 3.
34 of Elyse's money =
13 of Simon's money
34 of Elyse's money =
39 of Simon's money
Amount that Elyse had at first = 4 u
Amount that Simon had at first = 9 u
Amount that Elyse had less than Simon had at first
= 9 u - 4 u
= 5 u
5 u = 420
1 u = 420 ÷ 5 = 84
Amount that Simon had at first
= 9 u
= 9 x 84
= $756
Answer(s): $756