The ratio of pomegranates to passion fruits is 2 : 7. If 165 passion fruits are added, the ratio of pomegranates to passion fruits will be 1 : 11. How many pomegranates are there?
| |
Pomegranates |
Passion Fruits |
| Before |
2x1 =
2 u |
7x1 =
7 u |
| Change |
|
+ 165 |
| After |
1x2 =
2 u |
11x2 =
22 u |
The number of pomegranates at first and in the end remains unchanged. Make the number of pomegranates at first and in the end the same. LCM of 2 and 1 is 2.
Number of passion fruits added
= 22 u - 7 u
= 15 u
15 u = 165
1 u = 165 ÷ 15 = 11
Number of pomegranates
= 2 u
= 2 x 11
= 22
Answer(s): 22
