Xuan and Xavier had a total of $56. After Xuan spent
14 of her money and Xavier spent $18, the ratio of Xuan's money to Kennenth's money became 1 : 5. How much money had Xavier at first?
| |
Xuan |
Xavier |
Total |
| Before |
4 u |
15 u + $18 |
$56 |
| Change |
- 1 u |
- $18 |
|
| After |
3 u |
|
|
Comparing Xuan and
Xavier in the end |
1x3 =
3 u |
5x3 =
15 u |
|
The amount that Xuan had in the end is repeated. Make the amount that Xuan had in the end the same. LCM of 3 and 1 is 3.
Total amount that Xuan and Xavier had at first
= 4 u + 15 u + 18
= 19 u + 18
19 u + 18 = 56
19 u = 56 - 18
19 u = 38
1 u = 38 ÷ 19 = 2
Amount that Xavier had at first
= 15 u + 18
= 15 x 2 + 18
= 30 + 18
= $48
Answer(s): $48
