Hazel and Vincent had a total of $84. After Hazel spent
58 of her money and Vincent spent $16, the ratio of Hazel's money to Kennenth's money became 1 : 3. How much money had Vincent at first?
| |
Hazel |
Vincent |
Total |
| Before |
8 u |
9 u + $16 |
$84 |
| Change |
- 5 u |
- $16 |
|
| After |
3 u |
|
|
Comparing Hazel and
Vincent in the end |
1x3 =
3 u |
3x3 =
9 u |
|
The amount that Hazel had in the end is repeated. Make the amount that Hazel had in the end the same. LCM of 3 and 1 is 3.
Total amount that Hazel and Vincent had at first
= 8 u + 9 u + 16
= 17 u + 16
17 u + 16 = 84
17 u = 84 - 16
17 u = 68
1 u = 68 ÷ 17 = 4
Amount that Vincent had at first
= 9 u + 16
= 9 x 4 + 16
= 36 + 16
= $52
Answer(s): $52
