Ivory had $365 less than Reggie. Reggie spent 0.6 of his money and Ivory spent 0.4 of her money. In the end, Reggie and Ivory had the same amount of money left. Find the amount of money Ivory had at first.
| |
Ivory |
Reggie |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Reggie's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Ivory's amount left
= 1 -
25 =
35 The amount that Reggie and Ivory each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Reggie's amount =
35 of Ivory's amount
615 of Reggie's amount =
610 of Ivory's amount
Amount that Ivory had less than Reggie
= 15 u - 10 u
= 5 u
5 u = 365
1 u = 365 ÷ 5 = 73
Amount that Ivory had at first
= 10 u
= 10 x 73
= $730
Answer(s): $730
