Reggie had pomegranates and persimmons. The ratio of pomegranates to persimmons was 6 : 5. After
45 of the pomegranates and 216 persimmons were sold, there were 6 times as many pomegranates as persimmons left. How many pomegranates and persimmons were there at first?
|
Pomegranates |
Persimmons |
Comparing pomegranates and persimmons at first |
6x5 = 30 u |
5x5 = 25 u |
Before |
5x6 = 30 u |
|
Change |
- 4x6 = - 24 u |
- 216 |
After |
1x6 = 6 u |
|
Comparing pomegranates and persimmons in the end |
6 u |
1 u |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 6 and 5 is 30.
Number of persimmons sold
= 25 u - 1 u
= 24 u
24 u = 216
1 u = 216 ÷ 24 = 9
Number of pomegranates and persimmons at first
= 30 u + 25 u
= 55 u
= 55 x 9
= 495
Answer(s): 495