Xylia had $480 less than Seth. Seth spent 0.6 of his money and Xylia spent 0.3 of her money. In the end, Seth and Xylia had the same amount of money left. Find the amount of money Xylia had at first.
| |
Xylia |
Seth |
Difference |
| Before |
20 u |
35 u |
15 u |
| Change |
- 2 u |
- 7 u |
|
| After |
14 u |
14 u |
|
0.6 =
35 Fraction of Seth's amount left
= 1 -
35 =
25 0.3 =
310 Fraction of Xylia's amount left
= 1 -
310 =
710 The amount that Seth and Xylia each had in the end is the same. Make the numerators the same. LCM of 2 and 7 is 14.
25 of Seth's amount =
710 of Xylia's amount
1435 of Seth's amount =
1420 of Xylia's amount
Amount that Xylia had less than Seth
= 35 u - 20 u
= 15 u
15 u = 480
1 u = 480 ÷ 15 = 32
Amount that Xylia had at first
= 20 u
= 20 x 32
= $640
Answer(s): $640
