Julie had $415 less than Luke. Luke spent 0.6 of his money and Julie spent 0.4 of her money. In the end, Luke and Julie had the same amount of money left. Find the amount of money Julie had at first.
| |
Julie |
Luke |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Luke's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Julie's amount left
= 1 -
25 =
35 The amount that Luke and Julie each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Luke's amount =
35 of Julie's amount
615 of Luke's amount =
610 of Julie's amount
Amount that Julie had less than Luke
= 15 u - 10 u
= 5 u
5 u = 415
1 u = 415 ÷ 5 = 83
Amount that Julie had at first
= 10 u
= 10 x 83
= $830
Answer(s): $830
