Five hours ago, a grocer started his day with some mangosteens and pears in the ratio of 5 : 4. There were 60 pears. Some of the mangosteens were bought by Ivory. As a result, the number of mangosteens became
45 of the pears.
- How many mangosteens did the grocer have left?
- How many mangosteens did the grocer have to buy in order to have an equal number of mangosteens and pears?
|
Mangosteens |
Pears |
Before |
5x5 = 25 u |
4x5 = 20 u |
Change |
- ? |
|
After |
4x4 = 16 u |
5x4 = 20 u |
(a)
The number of pears remains unchanged. Make the number of pears the same. LCM of 4 and 5 is 20.
20 u = 60
1 u = 60 ÷ 20 = 3
Number of mangosteens that the grocer had left
= 16 u
= 16 x 3
= 48
(b)
Number of mangosteens that the grocer had to buy to have an equal number of mangosteens and pears
= 20 u - 16 u
= 4 u
= 4 x 3
= 12
Answer(s): (a) 48; (b) 12