Billy bought some kiwis and dragonfruits in the ratio of 1 : 3 . After buying another 45 fruits each, the ratio becomes 7 : 12. Find the number of kiwis and dragonfruits he had at first.
| |
Kiwis |
Dragonfruits |
Difference |
| Before |
1x5 =
5 u |
3x5 =
15 u |
2x5 =
10 u |
| Change |
+ 45 |
+ 45 |
|
| 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 kiwis and dragonfruits at first and in the end remains unchanged.
Make the difference in the number of kiwis and dragonfruits the same. LCM of 2 and 5 is 10.
Increase in the number of kiwis
= 14 u - 5 u
= 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Number of dragonfruits and kiwis that Billy had at first
= 5 u + 15 u
= 20 u
= 20 x 5
= 100
Answer(s): 100
