Jeremy and Carl had $300 altogether. Carl gave
25 of his money to Jeremy. After that, Jeremy gave
35 of his money to Carl. In the end, Jeremy had
15 of the total sum of money. How much did Jeremy have at first?
| |
Carl |
Jeremy |
Total |
| Before 1 |
5 p |
? |
$300 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$300 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$300 |
Comparing between
Carl and Jeremy
in the end |
4x2 =
8 u |
1x2 =
2 u |
$300 |
The amount that Jeremy had in the end is the repeated. Make the amount that Jeremy had in the end the same. LCM of 2 and 1 is 2.
10 u = 300
1 u = 300 ÷ 10 = 30
5 u = 5 x 30 = 150
3 p = 300 - 150 = 150
1 p = 150 ÷ 3 = 50
Amount that Carl had at first
= 5 p
= 5 x 50
= $250
Amount that Jeremy had at first
= 300 - 250
= $50
Answer(s): $50
