Andrew and Benedict have the same amount of money.
Andrew receives $80 and Benedict receives $10.
In the end, Andrew has 6 times as much money as Benedict.
- How much does each of them have at first?
- How much does Benedict have less than Andrew in the end?
|
Andrew |
Benedict |
Before |
6 u - 80 |
1 u - 10 |
Change |
+ 80 |
+ 10 |
After |
6 u |
1 u |
(a)
At first
Amount that Andrew has = Amount that Benedict has
6 u - 80 = 1 u - 10
6 u - 1 u = 80 - 10
5 u = 70
1 u = 70 ÷ 5 = 14
Amount that each of them has at first
= 1 u - 10
= 14 - 10
= $4
(b)
Amount that Benedict has less than Andrew in the end
= 6 u - 1 u
= 5 u
= 5 x 14
= $70
Answer(s): (a) $4; (b) $70