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If the ratio of the number of apples to oranges is 3:5 and there are 40 oranges,

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Question: If the ratio of the number of apples to oranges is 3:5 and there are 40 oranges, how many apples are there?

Options:

  1. 24
  2. 30
  3. 20
  4. 32

Correct Answer: 24

Solution:

Let apples be 3x and oranges be 5x. Given 5x = 40, x = 8. Therefore, apples = 3x = 3*8 = 24.

If the ratio of the number of apples to oranges is 3:5 and there are 40 oranges,

Practice Questions

Q1
If the ratio of the number of apples to oranges is 3:5 and there are 40 oranges, how many apples are there?
  1. 24
  2. 30
  3. 20
  4. 32

Questions & Step-by-Step Solutions

If the ratio of the number of apples to oranges is 3:5 and there are 40 oranges, how many apples are there?
  • Step 1: Understand the ratio of apples to oranges, which is 3:5.
  • Step 2: Let the number of apples be represented as 3x and the number of oranges as 5x.
  • Step 3: We know there are 40 oranges, so we can set up the equation 5x = 40.
  • Step 4: Solve for x by dividing both sides of the equation by 5. This gives us x = 40 / 5.
  • Step 5: Calculate x, which equals 8.
  • Step 6: Now, find the number of apples by substituting x back into the equation for apples: apples = 3x = 3 * 8.
  • Step 7: Calculate the number of apples, which equals 24.
  • Ratios – Understanding and applying ratios to find unknown quantities.
  • Algebraic Representation – Using variables to represent quantities in a problem.
  • Proportions – Setting up proportions based on given ratios to solve for unknowns.
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