Lee bought some mangosteens and passion fruits in the ratio of 2 : 3 . After buying another 9 fruits each, the ratio becomes 7 : 9. Find the number of mangosteens and passion fruits he has now.
| |
Mangosteens |
Passion Fruits |
Difference |
| Before |
2x2 =
4 u |
3x2 =
6 u |
1x2 =
2 u |
| Change |
+ 9 |
+ 9 |
|
| After |
7x1 =
7 u |
9x1 =
9 u |
2x1 =
2 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of mangosteens and passion fruits at first and in the end remains unchanged.
Make the difference in the number of mangosteens and passion fruits the same. LCM of 1 and 2 is 2.
Increase in the number of mangosteens
= 7 u - 4 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Number of passion fruits and mangosteens that $(Fred) has now
= 7 u + 9 u
= 16 u
= 16 x 3
= 48
Answer(s): 48
