Dana and Xavier had a total of $73. After Dana spent
13 of her money and Xavier spent $13, the ratio of Dana's money to Kennenth's money became 1 : 6. How much money had Xavier at first?
| |
Dana |
Xavier |
Total |
| Before |
3 u |
12 u + $13 |
$73 |
| Change |
- 1 u |
- $13 |
|
| After |
2 u |
|
|
Comparing Dana and
Xavier in the end |
1x2 =
2 u |
6x2 =
12 u |
|
The amount that Dana had in the end is repeated. Make the amount that Dana had in the end the same. LCM of 2 and 1 is 2.
Total amount that Dana and Xavier had at first
= 3 u + 12 u + 13
= 15 u + 13
15 u + 13 = 73
15 u = 73 - 13
15 u = 60
1 u = 60 ÷ 15 = 4
Amount that Xavier had at first
= 12 u + 13
= 12 x 4 + 13
= 48 + 13
= $61
Answer(s): $61
