Xylia had $320 less than Simon. Simon spent 0.8 of his money and Xylia spent 0.4 of her money. In the end, Simon and Xylia had the same amount of money left. Find the amount of money Xylia had at first.
| |
Xylia |
Simon |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Simon's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Xylia's amount left
= 1 -
25 =
35 The amount that Simon and Xylia each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Simon's amount =
35 of Xylia's amount
315 of Simon's amount =
35 of Xylia's amount
Amount that Xylia had less than Simon
= 15 u - 5 u
= 10 u
10 u = 320
1 u = 320 ÷ 10 = 32
Amount that Xylia had at first
= 5 u
= 5 x 32
= $160
Answer(s): $160
