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?
150
120
75
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.
