Seven hours ago, a fruit seller started his day with some oranges and mangosteens in the ratio of 8 : 5. There were 100 mangosteens. Some of the oranges were bought by Hazel. As a result, the number of oranges became
34 of the mangosteens.
- How many oranges did the fruit seller have at first?
- How many mangosteens did the fruit seller have to sell in order to have an equal number of oranges and mangosteens?
|
Oranges |
Mangosteens |
Before |
8x4 = 32 u |
5x4 = 20 u |
Change |
- ? |
|
After |
3x5 = 15 u |
4x5 = 20 u |
(a)
The number of mangosteens remains unchanged. Make the number of mangosteens the same. LCM of 5 and 4 is 20.
20 u = 100
1 u = 100 ÷ 20 = 5
Number of oranges that the fruit seller had at first
= 32 u
= 32 x 5
= 160
(b)
Number of mangosteens that the fruit seller had to sell to have an equal number of oranges and mangosteens
= 20 u - 15 u
= 5 u
= 5 x 5
= 25
Answer(s): (a) 160; (b) 25