Henry bought some persimmons and pears in the ratio of 2 : 5 . After buying another 176 fruits each, the ratio becomes 8 : 9. Find the number of persimmons and pears he has now.
| |
Persimmons |
Pears |
Difference |
| Before |
2x1 =
2 u |
5x1 =
5 u |
3x1 =
3 u |
| Change |
+ 176 |
+ 176 |
|
| 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 persimmons and pears at first and in the end remains unchanged.
Make the difference in the number of persimmons and pears the same. LCM of 3 and 1 is 3.
Increase in the number of persimmons
= 24 u - 2 u
= 22 u
22 u = 176
1 u = 176 ÷ 22 = 8
Number of pears and persimmons that $(Fred) has now
= 24 u + 27 u
= 51 u
= 51 x 8
= 408
Answer(s): 408
