Henry and Michael had $330 altogether. Michael gave
25 of his money to Henry. After that, Henry gave
35 of his money to Michael. In the end, Henry had
15 of the total sum of money. How much did Henry have at first?
| |
Michael |
Henry |
Total |
| Before 1 |
5 p |
? |
$330 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$330 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$330 |
Comparing between
Michael and Henry
in the end |
4x2 =
8 u |
1x2 =
2 u |
$330 |
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.
10 u = 330
1 u = 330 ÷ 10 = 33
5 u = 5 x 33 = 165
3 p = 330 - 165 = 165
1 p = 165 ÷ 3 = 55
Amount that Michael had at first
= 5 p
= 5 x 55
= $275
Amount that Henry had at first
= 330 - 275
= $55
Answer(s): $55
