Ken bought some mangosteens and mangoes in the ratio of 1 : 3 . After buying another 15 fruits each, the ratio becomes 5 : 12. Find the number of mangosteens and mangoes he has now.
| |
Mangosteens |
Mangoes |
Difference |
| Before |
1x7 =
7 u |
3x7 =
21 u |
2x7 =
14 u |
| Change |
+ 15 |
+ 15 |
|
| 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 mangoes at first and in the end remains unchanged.
Make the difference in the number of mangosteens and mangoes the same. LCM of 2 and 7 is 14.
Increase in the number of mangosteens
= 10 u - 7 u
= 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Number of mangoes and mangosteens that $(Fred) has now
= 10 u + 24 u
= 34 u
= 34 x 5
= 170
Answer(s): 170
