Bryan bought some pears and mangosteens in the ratio of 1 : 4 . After buying another 21 fruits each, the ratio becomes 5 : 11. Find the number of pears and mangosteens he has now.
| |
Pears |
Mangosteens |
Difference |
| Before |
1x2 =
2 u |
4x2 =
8 u |
3x2 =
6 u |
| Change |
+ 21 |
+ 21 |
|
| After |
5x1 =
5 u |
11x1 =
11 u |
6x1 =
6 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of pears and mangosteens at first and in the end remains unchanged.
Make the difference in the number of pears and mangosteens the same. LCM of 3 and 6 is 6.
Increase in the number of pears
= 5 u - 2 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Number of mangosteens and pears that $(Fred) has now
= 5 u + 11 u
= 16 u
= 16 x 7
= 112
Answer(s): 112
