Amadeus and Brad have the same amount of money.
Amadeus receives $90 and Brad receives $10.
In the end, Amadeus has 3 times as much money as Brad.
- How much does each of them have at first?
- How much does Brad have less than Amadeus in the end?
|
Amadeus |
Brad |
Before |
3 u - 90 |
1 u - 10 |
Change |
+ 90 |
+ 10 |
After |
3 u |
1 u |
(a)
At first
Amount that Amadeus has = Amount that Brad has
3 u - 90 = 1 u - 10
3 u - 1 u = 90 - 10
2 u = 80
1 u = 80 ÷ 2 = 40
Amount that each of them has at first
= 1 u - 10
= 40 - 10
= $30
(b)
Amount that Brad has less than Amadeus in the end
= 3 u - 1 u
= 2 u
= 2 x 40
= $80
Answer(s): (a) $30; (b) $80