Japheth and Gabriel had $864 altogether. Gabriel gave
25 of his money to Japheth. After that, Japheth gave
35 of his money to Gabriel. In the end, Japheth had
16 of the total sum of money. How much did Japheth have at first?
| |
Gabriel |
Japheth |
Total |
| Before 1 |
5 p |
? |
$864 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$864 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$864 |
Comparing between
Gabriel and Japheth
in the end |
5x2 =
10 u |
1x2 =
2 u |
$864 |
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.
12 u = 864
1 u = 864 ÷ 12 = 72
5 u = 5 x 72 = 360
3 p = 864 - 360 = 504
1 p = 504 ÷ 3 = 168
Amount that Gabriel had at first
= 5 p
= 5 x 168
= $840
Amount that Japheth had at first
= 864 - 840
= $24
Answer(s): $24
