Liam and Seth had $1800 altogether. After Liam spent
15 of his money and Seth spent
45 of his money, Liam was left with five times as much money as Seth. How much money did Seth have at first?
| |
Liam |
Seth |
Total |
| Before |
5x5 =
25 u |
5x4 =
20 u |
$1800 |
| Change |
- 1x5 =
- 5 u |
- 4x4 =
- 16 u |
|
| After |
4x5 =
20 u |
1x4 =
4 u |
|
Comparing Liam
and Seth in the end |
5x4 =
20 u |
1x4 =
4 u |
|
The amount that Liam had in the end is repeated. Make the amount that Liam had in the end the same. LCM of 4 and 5 is 20.
Total amount that Liam and Seth had at first
= 25 u + 20 u
= 45 u
45 u = 1800
1 u = 1800 ÷ 45 = 40
Amount that Seth had at first
= 20 u
= 20 x 40
= $800
Answer(s): $800
