Amadeus and Benedict have the same amount of money.
Amadeus receives $80 and Benedict receives $10.
In the end, Amadeus has 3 times as much money as Benedict.
- How much does each of them have at first?
- How much does Benedict have less than Amadeus in the end?
|
Amadeus |
Benedict |
Before |
3 u - 80 |
1 u - 10 |
Change |
+ 80 |
+ 10 |
After |
3 u |
1 u |
(a)
At first
Amount that Amadeus has = Amount that Benedict has
3 u - 80 = 1 u - 10
3 u - 1 u = 80 - 10
2 u = 70
1 u = 70 ÷ 2 = 35
Amount that each of them has at first
= 1 u - 10
= 35 - 10
= $25
(b)
Amount that Benedict has less than Amadeus in the end
= 3 u - 1 u
= 2 u
= 2 x 35
= $70
Answer(s): (a) $25; (b) $70