Ken and Japheth had $60 altogether. Japheth gave
25 of his money to Ken. After that, Ken gave
35 of his money to Japheth. In the end, Ken had
15 of the total sum of money. How much did Ken have at first?
| |
Japheth |
Ken |
Total |
| Before 1 |
5 p |
? |
$60 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$60 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$60 |
Comparing between
Japheth and Ken
in the end |
4x2 =
8 u |
1x2 =
2 u |
$60 |
The amount that Ken had in the end is the repeated. Make the amount that Ken had in the end the same. LCM of 2 and 1 is 2.
10 u = 60
1 u = 60 ÷ 10 = 6
5 u = 5 x 6 = 30
3 p = 60 - 30 = 30
1 p = 30 ÷ 3 = 10
Amount that Japheth had at first
= 5 p
= 5 x 10
= $50
Amount that Ken had at first
= 60 - 50
= $10
Answer(s): $10
