Fred and Henry had $780 altogether. Henry gave
25 of his money to Fred. After that, Fred gave
35 of his money to Henry. In the end, Fred had
15 of the total sum of money. How much did Fred have at first?
| |
Henry |
Fred |
Total |
| Before 1 |
5 p |
? |
$780 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$780 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$780 |
Comparing between
Henry and Fred
in the end |
4x2 =
8 u |
1x2 =
2 u |
$780 |
The amount that Fred had in the end is the repeated. Make the amount that Fred had in the end the same. LCM of 2 and 1 is 2.
10 u = 780
1 u = 780 ÷ 10 = 78
5 u = 5 x 78 = 390
3 p = 780 - 390 = 390
1 p = 390 ÷ 3 = 130
Amount that Henry had at first
= 5 p
= 5 x 130
= $650
Amount that Fred had at first
= 780 - 650
= $130
Answer(s): $130
