Elijah and Liam had $450 altogether. Liam gave
25 of his money to Elijah. After that, Elijah gave
35 of his money to Liam. In the end, Elijah had
15 of the total sum of money. How much did Elijah have at first?
| |
Liam |
Elijah |
Total |
| Before 1 |
5 p |
? |
$450 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$450 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$450 |
Comparing between
Liam and Elijah
in the end |
4x2 =
8 u |
1x2 =
2 u |
$450 |
The amount that Elijah had in the end is the repeated. Make the amount that Elijah had in the end the same. LCM of 2 and 1 is 2.
10 u = 450
1 u = 450 ÷ 10 = 45
5 u = 5 x 45 = 225
3 p = 450 - 225 = 225
1 p = 225 ÷ 3 = 75
Amount that Liam had at first
= 5 p
= 5 x 75
= $375
Amount that Elijah had at first
= 450 - 375
= $75
Answer(s): $75
