Victoria and Jeremy had a total of $160. After Victoria spent
14 of her money and Jeremy spent $8, the ratio of Victoria's money to Kennenth's money became 1 : 5. How much money had Jeremy at first?
| |
Victoria |
Jeremy |
Total |
| Before |
4 u |
15 u + $8 |
$160 |
| Change |
- 1 u |
- $8 |
|
| After |
3 u |
|
|
Comparing Victoria and
Jeremy in the end |
1x3 =
3 u |
5x3 =
15 u |
|
The amount that Victoria had in the end is repeated. Make the amount that Victoria had in the end the same. LCM of 3 and 1 is 3.
Total amount that Victoria and Jeremy had at first
= 4 u + 15 u + 8
= 19 u + 8
19 u + 8 = 160
19 u = 160 - 8
19 u = 152
1 u = 152 ÷ 19 = 8
Amount that Jeremy had at first
= 15 u + 8
= 15 x 8 + 8
= 120 + 8
= $128
Answer(s): $128
