Eight hours ago, a fruit seller started his day with some oranges and mangosteens in the ratio of 8 : 7. There were 280 mangosteens. Some of the oranges were bought by Min. As a result, the number of oranges became
45 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 |
8x5 = 40 u |
7x5 = 35 u |
Change |
- ? |
|
After |
4x7 = 28 u |
5x7 = 35 u |
(a)
The number of mangosteens remains unchanged. Make the number of mangosteens the same. LCM of 7 and 5 is 35.
35 u = 280
1 u = 280 ÷ 35 = 8
Number of oranges that the fruit seller had at first
= 40 u
= 40 x 8
= 320
(b)
Number of mangosteens that the fruit seller had to sell to have an equal number of oranges and mangosteens
= 35 u - 28 u
= 7 u
= 7 x 8
= 56
Answer(s): (a) 320; (b) 56