Luis bought some kiwis and pears in the ratio of 1 : 4 . After buying another 32 fruits each, the ratio becomes 7 : 12. Find the number of kiwis and pears he has now.
| |
Kiwis |
Pears |
Difference |
| Before |
1x5 =
5 u |
4x5 =
20 u |
3x5 =
15 u |
| Change |
+ 32 |
+ 32 |
|
| 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 kiwis and pears at first and in the end remains unchanged.
Make the difference in the number of kiwis and pears the same. LCM of 3 and 5 is 15.
Increase in the number of kiwis
= 21 u - 5 u
= 16 u
16 u = 32
1 u = 32 ÷ 16 = 2
Number of pears and kiwis that $(Fred) has now
= 21 u + 36 u
= 57 u
= 57 x 2
= 114
Answer(s): 114
