Vaidev bought some guavas and pears in the ratio of 2 : 5 . After buying another 110 fruits each, the ratio becomes 7 : 12. Find the number of guavas and pears he has now.
| |
Guavas |
Pears |
Difference |
| Before |
2x5 =
10 u |
5x5 =
25 u |
3x5 =
15 u |
| Change |
+ 110 |
+ 110 |
|
| After |
7x3 =
21 u |
12x3 =
36 u |
5x3 =
15 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of guavas and pears at first and in the end remains unchanged.
Make the difference in the number of guavas and pears the same. LCM of 3 and 5 is 15.
Increase in the number of guavas
= 21 u - 10 u
= 11 u
11 u = 110
1 u = 110 ÷ 11 = 10
Number of pears and guavas that $(Fred) has now
= 21 u + 36 u
= 57 u
= 57 x 10
= 570
Answer(s): 570
