Perry bought some peaches and starfruits in the ratio of 2 : 5 . After buying another 110 fruits each, the ratio becomes 8 : 9. Find the number of peaches and starfruits he has now.
| |
Peaches |
Starfruits |
Difference |
| Before |
2x1 =
2 u |
5x1 =
5 u |
3x1 =
3 u |
| Change |
+ 110 |
+ 110 |
|
| After |
8x3 =
24 u |
9x3 =
27 u |
1x3 =
3 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of peaches and starfruits at first and in the end remains unchanged.
Make the difference in the number of peaches and starfruits the same. LCM of 3 and 1 is 3.
Increase in the number of peaches
= 24 u - 2 u
= 22 u
22 u = 110
1 u = 110 ÷ 22 = 5
Number of starfruits and peaches that $(Fred) has now
= 24 u + 27 u
= 51 u
= 51 x 5
= 255
Answer(s): 255
