Vanessa and Tim had a total of $264. After Vanessa spent
27 of her money and Tim spent $8, the ratio of Vanessa's money to Kennenth's money became 1 : 5. How much money had Tim at first?
| |
Vanessa |
Tim |
Total |
| Before |
7 u |
25 u + $8 |
$264 |
| Change |
- 2 u |
- $8 |
|
| After |
5 u |
|
|
Comparing Vanessa and
Tim in the end |
1x5 =
5 u |
5x5 =
25 u |
|
The amount that Vanessa had in the end is repeated. Make the amount that Vanessa had in the end the same. LCM of 5 and 1 is 5.
Total amount that Vanessa and Tim had at first
= 7 u + 25 u + 8
= 32 u + 8
32 u + 8 = 264
32 u = 264 - 8
32 u = 256
1 u = 256 ÷ 32 = 8
Amount that Tim had at first
= 25 u + 8
= 25 x 8 + 8
= 200 + 8
= $208
Answer(s): $208
