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A bookstore sells novels and magazines. If the total number of books is 200 and

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Question: A bookstore sells novels and magazines. If the total number of books is 200 and the number of novels is 3 times the number of magazines, how many novels are there?

Options:

  1. 150
  2. 120
  3. 75
  4. 100

Correct Answer: 150

Solution: 

Let the number of magazines be x. Then the number of novels is 3x. The equation is x + 3x = 200. Solving gives 4x = 200, so x = 50. Therefore, novels = 3x = 150.

A bookstore sells novels and magazines. If the total number of books is 200 and

Practice Questions

Q1
A bookstore sells novels and magazines. If the total number of books is 200 and the number of novels is 3 times the number of magazines, how many novels are there?
  1. 150
  2. 120
  3. 75
  4. 100

Questions & Step-by-Step Solutions

A bookstore sells novels and magazines. If the total number of books is 200 and the number of novels is 3 times the number of magazines, how many novels are there?
  • Step 1: Let the number of magazines be represented by 'x'.
  • Step 2: Since the number of novels is 3 times the number of magazines, we can represent the number of novels as '3x'.
  • Step 3: The total number of books (novels + magazines) is given as 200. So, we can write the equation: x + 3x = 200.
  • Step 4: Combine the terms on the left side of the equation: 4x = 200.
  • Step 5: To find 'x', divide both sides of the equation by 4: x = 200 / 4.
  • Step 6: Calculate the value of 'x': x = 50. This means there are 50 magazines.
  • Step 7: Now, to find the number of novels, use the equation for novels: novels = 3x = 3 * 50.
  • Step 8: Calculate the number of novels: novels = 150.
  • Algebraic Equations – The question tests the ability to set up and solve a simple algebraic equation based on a word problem.
  • Proportions – Understanding the relationship between the number of novels and magazines, specifically that the number of novels is three times that of magazines.
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