John bought some guavas and pomegranates in the ratio of 1 : 5 . After buying another 225 fruits each, the ratio becomes 7 : 10. Find the number of guavas and pomegranates he has now.
| |
Guavas |
Pomegranates |
Difference |
| Before |
1x3 =
3 u |
5x3 =
15 u |
4x3 =
12 u |
| Change |
+ 225 |
+ 225 |
|
| After |
7x4 =
28 u |
10x4 =
40 u |
3x4 =
12 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of guavas and pomegranates at first and in the end remains unchanged.
Make the difference in the number of guavas and pomegranates the same. LCM of 4 and 3 is 12.
Increase in the number of guavas
= 28 u - 3 u
= 25 u
25 u = 225
1 u = 225 ÷ 25 = 9
Number of pomegranates and guavas that $(Fred) has now
= 28 u + 40 u
= 68 u
= 68 x 9
= 612
Answer(s): 612
