Albert and Ben had a total of $140. Albert gave $41 to Ben. In return, Ben gave
18 of his money to Albert. In the end, Albert had thrice as much money as Ben. How much money did Albert have at first?
| |
Albert |
Ben |
Total |
| Before |
|
|
$140 |
| Change 1 |
- $41 |
+ $41 |
|
| After 1 |
|
8 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
7 p |
|
Comparing Albert
and Ben
in the end |
3 u |
1 u |
$140 |
The total amount that Ben and Albert had remains unchanged.
Total amount in the end
= 3 u + 1 u
= 4 u
4 u = 140
1 u = 140 ÷ 4 = 35
Amount that Albert has in the end
= 3 u
= 3 x 35
= $105
Amount that Ben has in the end
= 1 u
= $35
7 p = 1 u = 35
1 p = 35 ÷ 7 = 5
Amount that Ben gave to Albert
= 1 p
= 1 x 5
= $5
Amount that Albert had at first
= 105 - 5 + 41
= $141
Answer(s): $141
