Elijah and Luis had $540 altogether. Luis gave
25 of his money to Elijah. After that, Elijah gave
35 of his money to Luis. In the end, Elijah had
15 of the total sum of money. How much did Elijah have at first?
| |
Luis |
Elijah |
Total |
| Before 1 |
5 p |
? |
$540 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$540 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$540 |
Comparing between
Luis and Elijah
in the end |
4x2 =
8 u |
1x2 =
2 u |
$540 |
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 = 540
1 u = 540 ÷ 10 = 54
5 u = 5 x 54 = 270
3 p = 540 - 270 = 270
1 p = 270 ÷ 3 = 90
Amount that Luis had at first
= 5 p
= 5 x 90
= $450
Amount that Elijah had at first
= 540 - 450
= $90
Answer(s): $90
