Bobby and Eric had $756 altogether. Eric gave
25 of his money to Bobby. After that, Bobby gave
35 of his money to Eric. In the end, Bobby had
16 of the total sum of money. How much did Bobby have at first?
| |
Eric |
Bobby |
Total |
| Before 1 |
5 p |
? |
$756 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$756 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$756 |
Comparing between
Eric and Bobby
in the end |
5x2 =
10 u |
1x2 =
2 u |
$756 |
The amount that Bobby had in the end is the repeated. Make the amount that Bobby had in the end the same. LCM of 2 and 1 is 2.
12 u = 756
1 u = 756 ÷ 12 = 63
5 u = 5 x 63 = 315
3 p = 756 - 315 = 441
1 p = 441 ÷ 3 = 147
Amount that Eric had at first
= 5 p
= 5 x 147
= $735
Amount that Bobby had at first
= 756 - 735
= $21
Answer(s): $21
