Carl bought some dragonfruits and kiwis in the ratio of 1 : 4 . After buying another 80 fruits each, the ratio becomes 7 : 12. Find the number of dragonfruits and kiwis he has now.
| |
Dragonfruits |
Kiwis |
Difference |
| Before |
1x5 =
5 u |
4x5 =
20 u |
3x5 =
15 u |
| Change |
+ 80 |
+ 80 |
|
| 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 dragonfruits and kiwis at first and in the end remains unchanged.
Make the difference in the number of dragonfruits and kiwis the same. LCM of 3 and 5 is 15.
Increase in the number of dragonfruits
= 21 u - 5 u
= 16 u
16 u = 80
1 u = 80 ÷ 16 = 5
Number of kiwis and dragonfruits that $(Fred) has now
= 21 u + 36 u
= 57 u
= 57 x 5
= 285
Answer(s): 285
