Sam bought some mangosteens and persimmons in the ratio of 1 : 3 . After buying another 21 fruits each, the ratio becomes 5 : 12. Find the number of mangosteens and persimmons he has now.
| |
Mangosteens |
Persimmons |
Difference |
| Before |
1x7 =
7 u |
3x7 =
21 u |
2x7 =
14 u |
| Change |
+ 21 |
+ 21 |
|
| After |
5x2 =
10 u |
12x2 =
24 u |
7x2 =
14 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of mangosteens and persimmons at first and in the end remains unchanged.
Make the difference in the number of mangosteens and persimmons the same. LCM of 2 and 7 is 14.
Increase in the number of mangosteens
= 10 u - 7 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Number of persimmons and mangosteens that $(Fred) has now
= 10 u + 24 u
= 34 u
= 34 x 7
= 238
Answer(s): 238
