Yoko had $335 less than Seth. Seth spent 0.6 of his money and Yoko spent 0.4 of her money. In the end, Seth and Yoko had the same amount of money left. Find the amount of money Yoko had at first.
| |
Yoko |
Seth |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Seth's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Yoko's amount left
= 1 -
25 =
35 The amount that Seth and Yoko each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Seth's amount =
35 of Yoko's amount
615 of Seth's amount =
610 of Yoko's amount
Amount that Yoko had less than Seth
= 15 u - 10 u
= 5 u
5 u = 335
1 u = 335 ÷ 5 = 67
Amount that Yoko had at first
= 10 u
= 10 x 67
= $670
Answer(s): $670
