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A fruit seller has a ratio of apples to oranges as 3:2. If he has 30 apples, how

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Question: A fruit seller has a ratio of apples to oranges as 3:2. If he has 30 apples, how many oranges does he have?

Options:

  1. 20
  2. 25
  3. 15
  4. 10

Correct Answer: 20

Solution: 

Let the number of oranges be x. The ratio gives us 30/x = 3/2. Cross-multiplying gives 3x = 60, so x = 20.

A fruit seller has a ratio of apples to oranges as 3:2. If he has 30 apples, how

Practice Questions

Q1
A fruit seller has a ratio of apples to oranges as 3:2. If he has 30 apples, how many oranges does he have?
  1. 20
  2. 25
  3. 15
  4. 10

Questions & Step-by-Step Solutions

A fruit seller has a ratio of apples to oranges as 3:2. If he has 30 apples, how many oranges does he have?
  • Step 1: Understand the ratio of apples to oranges, which is 3:2.
  • Step 2: Identify how many apples the fruit seller has, which is 30 apples.
  • Step 3: Set up a variable for the number of oranges. Let's call it x.
  • Step 4: Write the ratio as a fraction: 30/x = 3/2.
  • Step 5: Cross-multiply to eliminate the fraction: 30 * 2 = 3 * x.
  • Step 6: Calculate the left side: 60 = 3x.
  • Step 7: Solve for x by dividing both sides by 3: x = 60 / 3.
  • Step 8: Calculate the value of x: x = 20.
  • Step 9: Conclude that the fruit seller has 20 oranges.
  • Ratios – Understanding and applying the concept of ratios to solve for unknown quantities.
  • Cross-Multiplication – Using cross-multiplication to solve equations derived from ratios.
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