Linda and Billy had a total of $141. After Linda spent
16 of her money and Billy spent $11, the ratio of Linda's money to Kennenth's money became 1 : 4. How much money had Billy at first?
| |
Linda |
Billy |
Total |
| Before |
6 u |
20 u + $11 |
$141 |
| Change |
- 1 u |
- $11 |
|
| After |
5 u |
|
|
Comparing Linda and
Billy in the end |
1x5 =
5 u |
4x5 =
20 u |
|
The amount that Linda had in the end is repeated. Make the amount that Linda had in the end the same. LCM of 5 and 1 is 5.
Total amount that Linda and Billy had at first
= 6 u + 20 u + 11
= 26 u + 11
26 u + 11 = 141
26 u = 141 - 11
26 u = 130
1 u = 130 ÷ 26 = 5
Amount that Billy had at first
= 20 u + 11
= 20 x 5 + 11
= 100 + 11
= $111
Answer(s): $111
