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in a bag of apples and oranges the ratio of apples to oranges is 4 to 3. If the back contains 70 apples and oranges how many oranges are there

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Final answer:

In a bag with a total of 70 fruits and a ratio of apples to oranges of 4 to 3, there are 30 oranges.

This is determined by setting up the proportion 4x + 3x = 70, solving for x, and multiplying the result by 3.

Step-by-step explanation:

The subject of this question is Mathematics. In the problem, we have a bag containing a total of 70 apples and oranges with a ratio of apples to oranges being 4 to 3.

To find the number of oranges, we can use the concept of ratio to set up a proportion.

Here's a step-by-step explanation:

  • Let's denote the number of apples as 4x and the number of oranges as 3x, based on the given ratio of 4 to 3.
  • The total number of fruits is the sum of apples and oranges which we know is 70.
  • Therefore, we have: 4x + 3x = 70.
  • Solving this equation, we get 7x = 70, which means x = 10.
  • Since the number of oranges is 3x, we have 3 * 10, which equals 30.

Therefore, there are 30 oranges in the bag.

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