Flynn bought some kiwis and guavas in the ratio of 1 : 5 . After buying another 63 fruits each, the ratio becomes 5 : 11. Find the number of kiwis and guavas he has now.
| |
Kiwis |
Guavas |
Difference |
| Before |
1x3 =
3 u |
5x3 =
15 u |
4x3 =
12 u |
| Change |
+ 63 |
+ 63 |
|
| After |
5x2 =
10 u |
11x2 =
22 u |
6x2 =
12 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of kiwis and guavas at first and in the end remains unchanged.
Make the difference in the number of kiwis and guavas the same. LCM of 4 and 6 is 12.
Increase in the number of kiwis
= 10 u - 3 u
= 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
Number of guavas and kiwis that $(Fred) has now
= 10 u + 22 u
= 32 u
= 32 x 9
= 288
Answer(s): 288
