The ratio of grapefruits to passion fruits is 2 : 5. If 68 passion fruits are added, the ratio of grapefruits to passion fruits will be 1 : 11. How many grapefruits are there?
| |
Grapefruits |
Passion Fruits |
| Before |
2x1 =
2 u |
5x1 =
5 u |
| Change |
|
+ 68 |
| After |
1x2 =
2 u |
11x2 =
22 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 2 and 1 is 2.
Number of passion fruits added
= 22 u - 5 u
= 17 u
17 u = 68
1 u = 68 ÷ 17 = 4
Number of grapefruits
= 2 u
= 2 x 4
= 8
Answer(s): 8
