Henry and Andy had $756 altogether. Andy gave
25 of his money to Henry. After that, Henry gave
35 of his money to Andy. In the end, Henry had
16 of the total sum of money. How much did Henry have at first?
|
Andy |
Henry |
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 Andy and Henry in the end |
5x2 = 10 u |
1x2 = 2 u |
$756 |
The amount that Henry had in the end is the repeated. Make the amount that Henry 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 Andy had at first
= 5 p
= 5 x 147
= $735
Amount that Henry had at first
= 756 - 735
= $21
Answer(s): $21