Vanessa and Dylan had a total of $189. After Vanessa spent
17 of her money and Dylan spent $17, the ratio of Vanessa's money to Kennenth's money became 1 : 6. How much money had Dylan at first?
| |
Vanessa |
Dylan |
Total |
| Before |
7 u |
36 u + $17 |
$189 |
| Change |
- 1 u |
- $17 |
|
| After |
6 u |
|
|
Comparing Vanessa and
Dylan in the end |
1x6 =
6 u |
6x6 =
36 u |
|
The amount that Vanessa had in the end is repeated. Make the amount that Vanessa had in the end the same. LCM of 6 and 1 is 6.
Total amount that Vanessa and Dylan had at first
= 7 u + 36 u + 17
= 43 u + 17
43 u + 17 = 189
43 u = 189 - 17
43 u = 172
1 u = 172 ÷ 43 = 4
Amount that Dylan had at first
= 36 u + 17
= 36 x 4 + 17
= 144 + 17
= $161
Answer(s): $161
