Four hours ago, a fruit seller started his day with some apples and mangosteens in the ratio of 5 : 2. There were 40 mangosteens. Some of the apples were bought by Shannon. As a result, the number of apples became
35 of the mangosteens.
- How many apples did the fruit seller have left?
- How many apples did the fruit seller have to buy in order to have an equal number of apples and mangosteens?
|
Apples |
Mangosteens |
Before |
5x5 = 25 u |
2x5 = 10 u |
Change |
- ? |
|
After |
3x2 = 6 u |
5x2 = 10 u |
(a)
The number of mangosteens remains unchanged. Make the number of mangosteens the same. LCM of 2 and 5 is 10.
10 u = 40
1 u = 40 ÷ 10 = 4
Number of apples that the fruit seller had left
= 6 u
= 6 x 4
= 24
(b)
Number of apples that the fruit seller had to buy to have an equal number of apples and mangosteens
= 10 u - 6 u
= 4 u
= 4 x 4
= 16
Answer(s): (a) 24; (b) 16