The ratio of grapefruits to passion fruits is 5 : 7. If 408 passion fruits are added, the ratio of grapefruits to passion fruits will be 3 : 11. How many passion fruits are there?
| |
Grapefruits |
Passion Fruits |
| Before |
5x3 =
15 u |
7x3 =
21 u |
| Change |
|
+ 408 |
| After |
3x5 =
15 u |
11x5 =
55 u |
The number of grapefruits at first and in the end remains unchanged. Make the number of grapefruits at first and in the end the same. LCM of 5 and 3 is 15.
Number of passion fruits added
= 55 u - 21 u
= 34 u
34 u = 408
1 u = 408 ÷ 34 = 12
Number of passion fruits
= 21 u
= 21 x 12
= 252
Answer(s): 252
