Zeph and Ahmad had $144 altogether. Ahmad gave
25 of his money to Zeph. After that, Zeph gave
35 of his money to Ahmad. In the end, Zeph had
16 of the total sum of money. How much did Zeph have at first?
| |
Ahmad |
Zeph |
Total |
| Before 1 |
5 p |
? |
$144 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$144 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$144 |
Comparing between
Ahmad and Zeph
in the end |
5x2 =
10 u |
1x2 =
2 u |
$144 |
The amount that Zeph had in the end is the repeated. Make the amount that Zeph had in the end the same. LCM of 2 and 1 is 2.
12 u = 144
1 u = 144 ÷ 12 = 12
5 u = 5 x 12 = 60
3 p = 144 - 60 = 84
1 p = 84 ÷ 3 = 28
Amount that Ahmad had at first
= 5 p
= 5 x 28
= $140
Amount that Zeph had at first
= 144 - 140
= $4
Answer(s): $4
