Wendy and Billy had a total of $152. After Wendy spent
27 of her money and Billy spent $4, the ratio of Wendy's money to Kennenth's money became 1 : 6. How much money had Billy at first?
| |
Wendy |
Billy |
Total |
| Before |
7 u |
30 u + $4 |
$152 |
| Change |
- 2 u |
- $4 |
|
| After |
5 u |
|
|
Comparing Wendy and
Billy in the end |
1x5 =
5 u |
6x5 =
30 u |
|
The amount that Wendy had in the end is repeated. Make the amount that Wendy had in the end the same. LCM of 5 and 1 is 5.
Total amount that Wendy and Billy had at first
= 7 u + 30 u + 4
= 37 u + 4
37 u + 4 = 152
37 u = 152 - 4
37 u = 148
1 u = 148 ÷ 37 = 4
Amount that Billy had at first
= 30 u + 4
= 30 x 4 + 4
= 120 + 4
= $124
Answer(s): $124
