Liam and Japheth had $968 altogether. After Liam spent
16 of his money and Japheth spent
34 of his money, Liam was left with four times as much money as Japheth. How much money did Japheth have at first?
| |
Liam |
Japheth |
Total |
| Before |
6x4 =
24 u |
4x5 =
20 u |
$968 |
| Change |
- 1x4 =
- 4 u |
- 3x5 =
- 15 u |
|
| After |
5x4 =
20 u |
1x5 =
5 u |
|
Comparing Liam
and Japheth in the end |
4x5 =
20 u |
1x5 =
5 u |
|
The amount that Liam had in the end is repeated. Make the amount that Liam had in the end the same. LCM of 5 and 4 is 20.
Total amount that Liam and Japheth had at first
= 24 u + 20 u
= 44 u
44 u = 968
1 u = 968 ÷ 44 = 22
Amount that Japheth had at first
= 20 u
= 20 x 22
= $440
Answer(s): $440
