Cole bought some starfruits and passion fruits in the ratio of 1 : 5 . After buying another 124 fruits each, the ratio becomes 8 : 9. Find the number of starfruits and passion fruits he has now.
| |
Starfruits |
Passion Fruits |
Difference |
| Before |
1x1 =
1 u |
5x1 =
5 u |
4x1 =
4 u |
| Change |
+ 124 |
+ 124 |
|
| After |
8x4 =
32 u |
9x4 =
36 u |
1x4 =
4 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of starfruits and passion fruits at first and in the end remains unchanged.
Make the difference in the number of starfruits and passion fruits the same. LCM of 4 and 1 is 4.
Increase in the number of starfruits
= 32 u - 1 u
= 31 u
31 u = 124
1 u = 124 ÷ 31 = 4
Number of passion fruits and starfruits that $(Fred) has now
= 32 u + 36 u
= 68 u
= 68 x 4
= 272
Answer(s): 272
