Ben had 9 times as much money as Archie. After Ben had spent one-third of his money, he had $50 more than Archie. How much money did Ben have at first?
|
Ben |
Archie |
Before |
9 u |
1 u |
Change |
- 3 u |
|
After |
6 u |
1 u |
Amount that Ben had after he spent one-third of his money
= 9 u ÷ 3
= 3 u
Amount that Ben had more than Archie in the end
= 6 u - 1 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Amount that Ben had at first
= 9 u
= 9 x 50
= $450
Answer(s): $450