Emma and Xavier had a total of $31. After Emma spent
57 of her money and Xavier spent $5, the ratio of Emma's money to Kennenth's money became 1 : 3. How much money had Xavier at first?
| |
Emma |
Xavier |
Total |
| Before |
7 u |
6 u + $5 |
$31 |
| Change |
- 5 u |
- $5 |
|
| After |
2 u |
|
|
Comparing Emma and
Xavier in the end |
1x2 =
2 u |
3x2 =
6 u |
|
The amount that Emma had in the end is repeated. Make the amount that Emma had in the end the same. LCM of 2 and 1 is 2.
Total amount that Emma and Xavier had at first
= 7 u + 6 u + 5
= 13 u + 5
13 u + 5 = 31
13 u = 31 - 5
13 u = 26
1 u = 26 ÷ 13 = 2
Amount that Xavier had at first
= 6 u + 5
= 6 x 2 + 5
= 12 + 5
= $17
Answer(s): $17
