Kylie had $310 less than Billy. Billy spent 0.6 of his money and Kylie spent 0.4 of her money. In the end, Billy and Kylie had the same amount of money left. Find the amount of money Kylie had at first.
| |
Kylie |
Billy |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Billy's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Kylie's amount left
= 1 -
25 =
35 The amount that Billy and Kylie each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Billy's amount =
35 of Kylie's amount
615 of Billy's amount =
610 of Kylie's amount
Amount that Kylie had less than Billy
= 15 u - 10 u
= 5 u
5 u = 310
1 u = 310 ÷ 5 = 62
Amount that Kylie had at first
= 10 u
= 10 x 62
= $620
Answer(s): $620
