Four hours ago, a grocer started his day with some mangosteens and lemons in the ratio of 8 : 7. There were 168 lemons. Some of the mangosteens were bought by Abi. As a result, the number of mangosteens became
56 of the lemons.
- 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 lemons?
|
Mangosteens |
Lemons |
Before |
8x6 = 48 u |
7x6 = 42 u |
Change |
- ? |
|
After |
5x7 = 35 u |
6x7 = 42 u |
(a)
The number of lemons remains unchanged. Make the number of lemons the same. LCM of 7 and 6 is 42.
42 u = 168
1 u = 168 ÷ 42 = 4
Number of mangosteens that the grocer had left
= 35 u
= 35 x 4
= 140
(b)
Number of mangosteens that the grocer had to buy to have an equal number of mangosteens and lemons
= 42 u - 35 u
= 7 u
= 7 x 4
= 28
Answer(s): (a) 140; (b) 28