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 fas

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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im not sure