Xylia had $102 more than Owen. Xylia spent
23 of her money and Owen spent
13 of his money. In the end, Owen and Xylia had the same amount of money left. Find the amount of money Owen had at first.
| |
Xylia |
Owen |
More |
Before |
3x2 =
6 u |
3 u |
3 u |
Change |
- 2x2 =
- 4 u |
- 1 u |
|
After |
1x2 =
2 u |
2 u |
|
Fraction of money that Xylia left
= 1 -
23 =
13 Fraction of money that Owen left
= 1 -
13 =
23 The amount of money that Owen and Xylia had in the end is the same. Make the amount of money that Owen and Xylia had in the end the same. LCM of 1 and 2 is 2.
Amount that Xylia had more than Owen at first
= 6 u - 3 u
= 3 u
3 u = 102
1 u = 102 ÷ 3 = 34
Amount that Owen had at first
= 3 u
= 3 x 34
= $102
Answer(s): $102
