Gabriel bought some pomegranates and guavas in the ratio of 1 : 3 . After buying another 27 fruits each, the ratio becomes 7 : 12. Find the number of pomegranates and guavas he has now.
| |
Pomegranates |
Guavas |
Difference |
| Before |
1x5 =
5 u |
3x5 =
15 u |
2x5 =
10 u |
| Change |
+ 27 |
+ 27 |
|
| After |
7x2 =
14 u |
12x2 =
24 u |
5x2 =
10 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of pomegranates and guavas at first and in the end remains unchanged.
Make the difference in the number of pomegranates and guavas the same. LCM of 2 and 5 is 10.
Increase in the number of pomegranates
= 14 u - 5 u
= 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Number of guavas and pomegranates that $(Fred) has now
= 14 u + 24 u
= 38 u
= 38 x 3
= 114
Answer(s): 114
