Japheth bought some grapefruits and dragonfruits in the ratio of 1 : 5 . After buying another 115 fruits each, the ratio becomes 7 : 12. Find the number of grapefruits and dragonfruits he has now.
| |
Grapefruits |
Dragonfruits |
Difference |
| Before |
1x5 =
5 u |
5x5 =
25 u |
4x5 =
20 u |
| Change |
+ 115 |
+ 115 |
|
| After |
7x4 =
28 u |
12x4 =
48 u |
5x4 =
20 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of grapefruits and dragonfruits at first and in the end remains unchanged.
Make the difference in the number of grapefruits and dragonfruits the same. LCM of 4 and 5 is 20.
Increase in the number of grapefruits
= 28 u - 5 u
= 23 u
23 u = 115
1 u = 115 ÷ 23 = 5
Number of dragonfruits and grapefruits that $(Fred) has now
= 28 u + 48 u
= 76 u
= 76 x 5
= 380
Answer(s): 380
