Liam and Carl had $500 altogether. After Liam spent
14 of his money and Carl spent
23 of his money, Liam was left with four times as much money as Carl. How much money did Carl have at first?
| |
Liam |
Carl |
Total |
| Before |
4x4 =
16 u |
3x3 =
9 u |
$500 |
| Change |
- 1x4 =
- 4 u |
- 2x3 =
- 6 u |
|
| After |
3x4 =
12 u |
1x3 =
3 u |
|
Comparing Liam
and Carl in the end |
4x3 =
12 u |
1x3 =
3 u |
|
The amount that Liam had in the end is repeated. Make the amount that Liam had in the end the same. LCM of 3 and 4 is 12.
Total amount that Liam and Carl had at first
= 16 u + 9 u
= 25 u
25 u = 500
1 u = 500 ÷ 25 = 20
Amount that Carl had at first
= 9 u
= 9 x 20
= $180
Answer(s): $180
