The ratio of lemons to passion fruits is 3 : 4. If 22 passion fruits are added, the ratio of lemons to passion fruits will be 1 : 5. How many passion fruits are there?
| |
Lemons |
Passion Fruits |
| Before |
3x1 =
3 u |
4x1 =
4 u |
| Change |
|
+ 22 |
| After |
1x3 =
3 u |
5x3 =
15 u |
The number of lemons at first and in the end remains unchanged. Make the number of lemons at first and in the end the same. LCM of 3 and 1 is 3.
Number of passion fruits added
= 15 u - 4 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Number of passion fruits
= 4 u
= 4 x 2
= 8
Answer(s): 8
