Mr. Rozario bought some apples and oranges. The ratio of the number of apples to the number of oranges are 2:5. He gave 3/4 of the apples to his sister and 34 oranges to his brother. The ratio of the number of oranges to the number of apples that he has now is 2:3.
How many apples did Mr. Rozario buy?
How many oranges did Mr. Rozario buy? Please help fastttttttt

Answers

Answer 1

Answer:

How many apples did Mr. Rozario buy?

16 apples

How many oranges did Mr. Rozario buy? 40 oranges

Step-by-step 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


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