Eight hours ago, a store owner started his day with some oranges and mangoes in the ratio of 5 : 4. There were 100 mangoes. Some of the oranges were bought by Rachel. As a result, the number of oranges became
25 of the mangoes.
- How many oranges did the store owner have left?
- How many oranges did the store owner have to buy in order to have an equal number of oranges and mangoes?
|
Oranges |
Mangoes |
Before |
5x5 = 25 u |
4x5 = 20 u |
Change |
- ? |
|
After |
2x4 = 8 u |
5x4 = 20 u |
(a)
The number of mangoes remains unchanged. Make the number of mangoes the same. LCM of 4 and 5 is 20.
20 u = 100
1 u = 100 ÷ 20 = 5
Number of oranges that the store owner had left
= 8 u
= 8 x 5
= 40
(b)
Number of oranges that the store owner had to buy to have an equal number of oranges and mangoes
= 20 u - 8 u
= 12 u
= 12 x 5
= 60
Answer(s): (a) 40; (b) 60