Xavier bought some kiwis and pomegranates in the ratio of 1 : 5 . After buying another 78 fruits each, the ratio becomes 5 : 12. Find the number of kiwis and pomegranates he had at first.
| |
Kiwis |
Pomegranates |
Difference |
| Before |
1x7 =
7 u |
5x7 =
35 u |
4x7 =
28 u |
| Change |
+ 78 |
+ 78 |
|
| After |
5x4 =
20 u |
12x4 =
48 u |
7x4 =
28 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of kiwis and pomegranates at first and in the end remains unchanged.
Make the difference in the number of kiwis and pomegranates the same. LCM of 4 and 7 is 28.
Increase in the number of kiwis
= 20 u - 7 u
= 13 u
13 u = 78
1 u = 78 ÷ 13 = 6
Number of pomegranates and kiwis that Xavier had at first
= 7 u + 35 u
= 42 u
= 42 x 6
= 252
Answer(s): 252
