Eight hours ago, a grocer started his day with some mangosteens and oranges in the ratio of 5 : 2. There were 80 oranges. Some of the mangosteens were bought by Jane. As a result, the number of mangosteens became
35 of the oranges.
- 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 oranges?
|
Mangosteens |
Oranges |
Before |
5x5 = 25 u |
2x5 = 10 u |
Change |
- ? |
|
After |
3x2 = 6 u |
5x2 = 10 u |
(a)
The number of oranges remains unchanged. Make the number of oranges the same. LCM of 2 and 5 is 10.
10 u = 80
1 u = 80 ÷ 10 = 8
Number of mangosteens that the grocer had left
= 6 u
= 6 x 8
= 48
(b)
Number of mangosteens that the grocer had to buy to have an equal number of mangosteens and oranges
= 10 u - 6 u
= 4 u
= 4 x 8
= 32
Answer(s): (a) 48; (b) 32