Aaron and Boaz have the same amount of money.
Aaron receives $70 and Boaz receives $10.
In the end, Aaron has 5 times as much money as Boaz.
- How much does each of them have at first?
- How much does Boaz have less than Aaron in the end?
|
Aaron |
Boaz |
Before |
5 u - 70 |
1 u - 10 |
Change |
+ 70 |
+ 10 |
After |
5 u |
1 u |
(a)
At first
Amount that Aaron has = Amount that Boaz has
5 u - 70 = 1 u - 10
5 u - 1 u = 70 - 10
4 u = 60
1 u = 60 ÷ 4 = 15
Amount that each of them has at first
= 1 u - 10
= 15 - 10
= $5
(b)
Amount that Boaz has less than Aaron in the end
= 5 u - 1 u
= 4 u
= 4 x 15
= $60
Answer(s): (a) $5; (b) $60