Michael bought some guavas and passion fruits in the ratio of 2 : 5 . After buying another 102 fruits each, the ratio becomes 7 : 9. Find the number of guavas and passion fruits he has now.
| |
Guavas |
Passion Fruits |
Difference |
| Before |
2x2 =
4 u |
5x2 =
10 u |
3x2 =
6 u |
| Change |
+ 102 |
+ 102 |
|
| After |
7x3 =
21 u |
9x3 =
27 u |
2x3 =
6 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of guavas and passion fruits at first and in the end remains unchanged.
Make the difference in the number of guavas and passion fruits the same. LCM of 3 and 2 is 6.
Increase in the number of guavas
= 21 u - 4 u
= 17 u
17 u = 102
1 u = 102 ÷ 17 = 6
Number of passion fruits and guavas that $(Fred) has now
= 21 u + 27 u
= 48 u
= 48 x 6
= 288
Answer(s): 288
