Rael bought some grapefruits and kiwis in the ratio of 1 : 5 . After buying another 117 fruits each, the ratio becomes 7 : 9. Find the number of grapefruits and kiwis he has now.
| |
Grapefruits |
Kiwis |
Difference |
| Before |
1x1 =
1 u |
5x1 =
5 u |
4x1 =
4 u |
| Change |
+ 117 |
+ 117 |
|
| After |
7x2 =
14 u |
9x2 =
18 u |
2x2 =
4 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of grapefruits and kiwis at first and in the end remains unchanged.
Make the difference in the number of grapefruits and kiwis the same. LCM of 4 and 2 is 4.
Increase in the number of grapefruits
= 14 u - 1 u
= 13 u
13 u = 117
1 u = 117 ÷ 13 = 9
Number of kiwis and grapefruits that $(Fred) has now
= 14 u + 18 u
= 32 u
= 32 x 9
= 288
Answer(s): 288
