Carl bought some persimmons and mangosteens in the ratio of 1 : 5 . After buying another 78 fruits each, the ratio becomes 7 : 9. Find the number of persimmons and mangosteens he has now.
| |
Persimmons |
Mangosteens |
Difference |
| Before |
1x1 =
1 u |
5x1 =
5 u |
4x1 =
4 u |
| Change |
+ 78 |
+ 78 |
|
| After |
7x2 =
14 u |
9x2 =
18 u |
2x2 =
4 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of persimmons and mangosteens at first and in the end remains unchanged.
Make the difference in the number of persimmons and mangosteens the same. LCM of 4 and 2 is 4.
Increase in the number of persimmons
= 14 u - 1 u
= 13 u
13 u = 78
1 u = 78 ÷ 13 = 6
Number of mangosteens and persimmons that $(Fred) has now
= 14 u + 18 u
= 32 u
= 32 x 6
= 192
Answer(s): 192
