The ratio of peaches to passion fruits is 5 : 7. If 82 passion fruits are added, the ratio of peaches to passion fruits will be 2 : 11. How many passion fruits are there?
| |
Peaches |
Passion Fruits |
| Before |
5x2 =
10 u |
7x2 =
14 u |
| Change |
|
+ 82 |
| After |
2x5 =
10 u |
11x5 =
55 u |
The number of peaches at first and in the end remains unchanged. Make the number of peaches at first and in the end the same. LCM of 5 and 2 is 10.
Number of passion fruits added
= 55 u - 14 u
= 41 u
41 u = 82
1 u = 82 ÷ 41 = 2
Number of passion fruits
= 14 u
= 14 x 2
= 28
Answer(s): 28
