Bryan bought some pears and dragonfruits in the ratio of 1 : 3 . After buying another 24 fruits each, the ratio becomes 5 : 12. Find the number of pears and dragonfruits he has now.
| |
Pears |
Dragonfruits |
Difference |
| Before |
1x7 =
7 u |
3x7 =
21 u |
2x7 =
14 u |
| Change |
+ 24 |
+ 24 |
|
| After |
5x2 =
10 u |
12x2 =
24 u |
7x2 =
14 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of pears and dragonfruits at first and in the end remains unchanged.
Make the difference in the number of pears and dragonfruits the same. LCM of 2 and 7 is 14.
Increase in the number of pears
= 10 u - 7 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Number of dragonfruits and pears that $(Fred) has now
= 10 u + 24 u
= 34 u
= 34 x 8
= 272
Answer(s): 272
