Ivory and Vincent had a total of $122. After Ivory spent
13 of her money and Vincent spent $12, the ratio of Ivory's money to Kennenth's money became 1 : 4. How much money had Vincent at first?
| |
Ivory |
Vincent |
Total |
| Before |
3 u |
8 u + $12 |
$122 |
| Change |
- 1 u |
- $12 |
|
| After |
2 u |
|
|
Comparing Ivory and
Vincent in the end |
1x2 =
2 u |
4x2 =
8 u |
|
The amount that Ivory had in the end is repeated. Make the amount that Ivory had in the end the same. LCM of 2 and 1 is 2.
Total amount that Ivory and Vincent had at first
= 3 u + 8 u + 12
= 11 u + 12
11 u + 12 = 122
11 u = 122 - 12
11 u = 110
1 u = 110 ÷ 11 = 10
Amount that Vincent had at first
= 8 u + 12
= 8 x 10 + 12
= 80 + 12
= $92
Answer(s): $92
