Elyse had $380 less than Julian. Julian spent 0.6 of his money and Elyse spent 0.2 of her money. In the end, Julian and Elyse had the same amount of money left. Find the amount of money Elyse had at first.
| |
Elyse |
Julian |
Difference |
| Before |
5 u |
10 u |
5 u |
| Change |
- 2 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.6 =
35 Fraction of Julian's amount left
= 1 -
35 =
25 0.2 =
15 Fraction of Elyse's amount left
= 1 -
15 =
45 The amount that Julian and Elyse each had in the end is the same. Make the numerators the same. LCM of 2 and 4 is 4.
25 of Julian's amount =
45 of Elyse's amount
410 of Julian's amount =
45 of Elyse's amount
Amount that Elyse had less than Julian
= 10 u - 5 u
= 5 u
5 u = 380
1 u = 380 ÷ 5 = 76
Amount that Elyse had at first
= 5 u
= 5 x 76
= $380
Answer(s): $380
