Will bought some pears and persimmons in the ratio of 1 : 5 . After buying another 70 fruits each, the ratio becomes 5 : 11. Find the number of pears and persimmons he has now.
| |
Pears |
Persimmons |
Difference |
| Before |
1x3 =
3 u |
5x3 =
15 u |
4x3 =
12 u |
| Change |
+ 70 |
+ 70 |
|
| After |
5x2 =
10 u |
11x2 =
22 u |
6x2 =
12 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of pears and persimmons at first and in the end remains unchanged.
Make the difference in the number of pears and persimmons the same. LCM of 4 and 6 is 12.
Increase in the number of pears
= 10 u - 3 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Number of persimmons and pears that $(Fred) has now
= 10 u + 22 u
= 32 u
= 32 x 10
= 320
Answer(s): 320
