Victoria and Will had a total of $307. After Victoria spent
18 of her money and Will spent $7, the ratio of Victoria's money to Kennenth's money became 1 : 6. How much money had Will at first?
|
Victoria |
Will |
Total |
Before |
8 u |
42 u + $7 |
$307 |
Change |
- 1 u |
- $7 |
|
After |
7 u |
|
|
Comparing Victoria and Will in the end |
1x7 = 7 u |
6x7 = 42 u |
|
The amount that Victoria had in the end is repeated. Make the amount that Victoria had in the end the same. LCM of 7 and 1 is 7.
Total amount that Victoria and Will had at first
= 8 u + 42 u + 7
= 50 u + 7
50 u + 7 = 307
50 u = 307 - 7
50 u = 300
1 u = 300 ÷ 50 = 6
Amount that Will had at first
= 42 u + 7
= 42 x 6 + 7
= 252 + 7
= $259
Answer(s): $259