Eight hours ago, a grocer started his day with some mangosteens and apples in the ratio of 8 : 7. There were 140 apples. Some of the mangosteens were bought by Ivory. As a result, the number of mangosteens became
35 of the apples.
- 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 apples?
|
Mangosteens |
Apples |
Before |
8x5 = 40 u |
7x5 = 35 u |
Change |
- ? |
|
After |
3x7 = 21 u |
5x7 = 35 u |
(a)
The number of apples remains unchanged. Make the number of apples the same. LCM of 7 and 5 is 35.
35 u = 140
1 u = 140 ÷ 35 = 4
Number of mangosteens that the grocer had left
= 21 u
= 21 x 4
= 84
(b)
Number of mangosteens that the grocer had to buy to have an equal number of mangosteens and apples
= 35 u - 21 u
= 14 u
= 14 x 4
= 56
Answer(s): (a) 84; (b) 56