Shannon and Will had a total of $64. After Shannon spent
15 of her money and Will spent $12, the ratio of Shannon's money to Kennenth's money became 1 : 2. How much money had Will at first?
| |
Shannon |
Will |
Total |
| Before |
5 u |
8 u + $12 |
$64 |
| Change |
- 1 u |
- $12 |
|
| After |
4 u |
|
|
Comparing Shannon and
Will in the end |
1x4 =
4 u |
2x4 =
8 u |
|
The amount that Shannon had in the end is repeated. Make the amount that Shannon had in the end the same. LCM of 4 and 1 is 4.
Total amount that Shannon and Will had at first
= 5 u + 8 u + 12
= 13 u + 12
13 u + 12 = 64
13 u = 64 - 12
13 u = 52
1 u = 52 ÷ 13 = 4
Amount that Will had at first
= 8 u + 12
= 8 x 4 + 12
= 32 + 12
= $44
Answer(s): $44
