Vanessa and Xavier had a total of $116. After Vanessa spent
13 of her money and Xavier spent $17, the ratio of Vanessa's money to Kennenth's money became 1 : 4. How much money had Xavier at first?
| |
Vanessa |
Xavier |
Total |
| Before |
3 u |
8 u + $17 |
$116 |
| Change |
- 1 u |
- $17 |
|
| After |
2 u |
|
|
Comparing Vanessa and
Xavier in the end |
1x2 =
2 u |
4x2 =
8 u |
|
The amount that Vanessa had in the end is repeated. Make the amount that Vanessa had in the end the same. LCM of 2 and 1 is 2.
Total amount that Vanessa and Xavier had at first
= 3 u + 8 u + 17
= 11 u + 17
11 u + 17 = 116
11 u = 116 - 17
11 u = 99
1 u = 99 ÷ 11 = 9
Amount that Xavier had at first
= 8 u + 17
= 8 x 9 + 17
= 72 + 17
= $89
Answer(s): $89
