Answer:
How many apples did Mr. Rozario buy?
16 apples
How many oranges did Mr. Rozario buy? 40 oranges
Explanation:
From the question, we know that:
The ratio of the number of apples to the number of oranges are 2:5.
We represent the total number of fruits as x
Let
The number of apples he bought be represented as 2x
The number of oranges he bought be represented by
= 5x
He gave 3/4 of the apples to his sister and 34 oranges to his brother.
This means now, the number of apples he has left =1 - 3/4(2x) = 1/4(2x)
The number of oranges he has left = 5 - 34
The ratio of the number of oranges to the number of apples that he has now is 2:3.
1/4(2x) : 5x - 34 = 2:3
x/2:5x - 34 = 2:3
= x/2/5x-34 = 2/3
Cross Multiply
(x/2)3 = 5x - 34(2)
3x/2 = 10x - 68
Cross Multiply again
3x = 2(10x - 68)
3x = 20x - 136
20x - 3x = 126
17x = 126.
x = 126/17
x = 8
Hence:
The number of apples he bought be represented as 2x
So: 2 × 8 = 16 apples
The number of oranges he bought be represented by
= 5x
so: 5 × 8 = 40 oranges
Therefore, the number of Apples Mr Rosario bought is 16 apples
The number of oranges Mr Rosario bought is 40 oranges