Three hours ago, a grocer started his day with some lemons and mangosteens in the ratio of 7 : 3. There were 132 mangosteens. Some of the lemons were bought by Usha. As a result, the number of lemons became
34 of the mangosteens.
- How many lemons did the grocer have at first?
- How many mangosteens did the grocer have to sell in order to have an equal number of lemons and mangosteens?
|
Lemons |
Mangosteens |
Before |
7x4 = 28 u |
3x4 = 12 u |
Change |
- ? |
|
After |
3x3 = 9 u |
4x3 = 12 u |
(a)
The number of mangosteens remains unchanged. Make the number of mangosteens the same. LCM of 3 and 4 is 12.
12 u = 132
1 u = 132 ÷ 12 = 11
Number of lemons that the grocer had at first
= 28 u
= 28 x 11
= 308
(b)
Number of mangosteens that the grocer had to sell to have an equal number of lemons and mangosteens
= 12 u - 9 u
= 3 u
= 3 x 11
= 33
Answer(s): (a) 308; (b) 33