Howard bought some lemons and mangosteens in the ratio of 1 : 5 . After buying another 52 fruits each, the ratio becomes 5 : 12. Find the number of lemons and mangosteens he has now.
| |
Lemons |
Mangosteens |
Difference |
| Before |
1x7 =
7 u |
5x7 =
35 u |
4x7 =
28 u |
| Change |
+ 52 |
+ 52 |
|
| After |
5x4 =
20 u |
12x4 =
48 u |
7x4 =
28 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of lemons and mangosteens at first and in the end remains unchanged.
Make the difference in the number of lemons and mangosteens the same. LCM of 4 and 7 is 28.
Increase in the number of lemons
= 20 u - 7 u
= 13 u
13 u = 52
1 u = 52 ÷ 13 = 4
Number of mangosteens and lemons that $(Fred) has now
= 20 u + 48 u
= 68 u
= 68 x 4
= 272
Answer(s): 272
