David and Zane share a bunch of persimmons in the ratio 5 : 3. If David gives Zane 20 persimmons from his share, they will have the same number of persimmons. How many persimmons does David have at first?
| |
David |
Zane |
| Before |
5 u |
3 u |
| Change |
- 20 |
+ 20 |
| After |
5 u - 20 |
3 u + 20 |
If David gives Zane 20 persimmons from his share, they will have the same number of persimmons.
5 u - 20 = 3 u + 20
5 u - 3 u = 20 + 20
2 u = 40
1 u = 40 ÷ 2 = 20
Number of persimmons that David has
= 5 u
= 5 x 20
= 100
Answer(s): 100
