Elijah bought some guavas and mangosteens in the ratio of 1 : 4 . After buying another 114 fruits each, the ratio becomes 7 : 9. Find the number of guavas and mangosteens he had at first.
| |
Guavas |
Mangosteens |
Difference |
| Before |
1x2 =
2 u |
4x2 =
8 u |
3x2 =
6 u |
| Change |
+ 114 |
+ 114 |
|
| 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 mangosteens at first and in the end remains unchanged.
Make the difference in the number of guavas and mangosteens the same. LCM of 3 and 2 is 6.
Increase in the number of guavas
= 21 u - 2 u
= 19 u
19 u = 114
1 u = 114 ÷ 19 = 6
Number of mangosteens and guavas that Elijah had at first
= 2 u + 8 u
= 10 u
= 10 x 6
= 60
Answer(s): 60
