Japheth and Ian had $240 altogether. Ian gave
25 of his money to Japheth. After that, Japheth gave
35 of his money to Ian. In the end, Japheth had
15 of the total sum of money. How much did Japheth have at first?
| |
Ian |
Japheth |
Total |
| Before 1 |
5 p |
? |
$240 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$240 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$240 |
Comparing between
Ian and Japheth
in the end |
4x2 =
8 u |
1x2 =
2 u |
$240 |
The amount that Japheth had in the end is the repeated. Make the amount that Japheth had in the end the same. LCM of 2 and 1 is 2.
10 u = 240
1 u = 240 ÷ 10 = 24
5 u = 5 x 24 = 120
3 p = 240 - 120 = 120
1 p = 120 ÷ 3 = 40
Amount that Ian had at first
= 5 p
= 5 x 40
= $200
Amount that Japheth had at first
= 240 - 200
= $40
Answer(s): $40
