Harry and Riordan had $480 altogether. Riordan gave
25 of his money to Harry. After that, Harry gave
35 of his money to Riordan. In the end, Harry had
15 of the total sum of money. How much did Harry have at first?
| |
Riordan |
Harry |
Total |
| Before 1 |
5 p |
? |
$480 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$480 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$480 |
Comparing between
Riordan and Harry
in the end |
4x2 =
8 u |
1x2 =
2 u |
$480 |
The amount that Harry had in the end is the repeated. Make the amount that Harry had in the end the same. LCM of 2 and 1 is 2.
10 u = 480
1 u = 480 ÷ 10 = 48
5 u = 5 x 48 = 240
3 p = 480 - 240 = 240
1 p = 240 ÷ 3 = 80
Amount that Riordan had at first
= 5 p
= 5 x 80
= $400
Amount that Harry had at first
= 480 - 400
= $80
Answer(s): $80
