Glen and Ahmad had a total of $300. Glen gave $20 to Ahmad. In return, Ahmad gave
16 of his money to Glen. In the end, Glen had five times as much money as Ahmad. How much money did Glen have at first?
| |
Glen |
Ahmad |
Total |
| Before |
|
|
$300 |
| Change 1 |
- $20 |
+ $20 |
|
| After 1 |
|
6 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
5 p |
|
Comparing Glen
and Ahmad
in the end |
5 u |
1 u |
$300 |
The total amount that Ahmad and Glen had remains unchanged.
Total amount in the end
= 5 u + 1 u
= 6 u
6 u = 300
1 u = 300 ÷ 6 = 50
Amount that Glen has in the end
= 5 u
= 5 x 50
= $250
Amount that Ahmad has in the end
= 1 u
= $50
5 p = 1 u = 50
1 p = 50 ÷ 5 = 10
Amount that Ahmad gave to Glen
= 1 p
= 1 x 10
= $10
Amount that Glen had at first
= 250 - 10 + 20
= $260
Answer(s): $260
