Yen had $495 less than Flynn. Flynn spent 0.6 of his money and Yen spent 0.4 of her money. In the end, Flynn and Yen had the same amount of money left. Find the amount of money Yen had at first.
| |
Yen |
Flynn |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Flynn's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Yen's amount left
= 1 -
25 =
35 The amount that Flynn and Yen each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Flynn's amount =
35 of Yen's amount
615 of Flynn's amount =
610 of Yen's amount
Amount that Yen had less than Flynn
= 15 u - 10 u
= 5 u
5 u = 495
1 u = 495 ÷ 5 = 99
Amount that Yen had at first
= 10 u
= 10 x 99
= $990
Answer(s): $990
