Three hours ago, a grocer started his day with some mangosteens and apples in the ratio of 8 : 7. There were 126 apples. Some of the mangosteens were bought by Kimberly. As a result, the number of mangosteens became
56 of the apples.
- How many mangosteens did the grocer have at first?
- How many apples did the grocer have to sell in order to have an equal number of mangosteens and apples?
|
Mangosteens |
Apples |
Before |
8x6 = 48 u |
7x6 = 42 u |
Change |
- ? |
|
After |
5x7 = 35 u |
6x7 = 42 u |
(a)
The number of apples remains unchanged. Make the number of apples the same. LCM of 7 and 6 is 42.
42 u = 126
1 u = 126 ÷ 42 = 3
Number of mangosteens that the grocer had at first
= 48 u
= 48 x 3
= 144
(b)
Number of apples that the grocer had to sell to have an equal number of mangosteens and apples
= 42 u - 35 u
= 7 u
= 7 x 3
= 21
Answer(s): (a) 144; (b) 21