Bobby bought some peaches and dragonfruits in the ratio of 1 : 4 . After buying another 128 fruits each, the ratio becomes 7 : 12. Find the number of peaches and dragonfruits he has now.
| |
Peaches |
Dragonfruits |
Difference |
| Before |
1x5 =
5 u |
4x5 =
20 u |
3x5 =
15 u |
| Change |
+ 128 |
+ 128 |
|
| 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 peaches and dragonfruits at first and in the end remains unchanged.
Make the difference in the number of peaches and dragonfruits the same. LCM of 3 and 5 is 15.
Increase in the number of peaches
= 21 u - 5 u
= 16 u
16 u = 128
1 u = 128 ÷ 16 = 8
Number of dragonfruits and peaches that $(Fred) has now
= 21 u + 36 u
= 57 u
= 57 x 8
= 456
Answer(s): 456
