Ben and Archie share a bunch of persimmons in the ratio 9 : 2. If Ben gives Archie 42 persimmons from his share, they will have the same number of persimmons. How many persimmons does Ben have at first?
| |
Ben |
Archie |
| Before |
9 u |
2 u |
| Change |
- 42 |
+ 42 |
| After |
9 u - 42 |
2 u + 42 |
If Ben gives Archie 42 persimmons from his share, they will have the same number of persimmons.
9 u - 42 = 2 u + 42
9 u - 2 u = 42 + 42
7 u = 84
1 u = 84 ÷ 7 = 12
Number of persimmons that Ben has
= 9 u
= 9 x 12
= 108
Answer(s): 108
