A fruit seller has apples and oranges. If the total number of fruits is 80 and t
Practice Questions
Q1
A fruit seller has apples and oranges. If the total number of fruits is 80 and the number of apples is 3 times the number of oranges, how many apples are there?
60
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50
Questions & Step-by-Step Solutions
A fruit seller has apples and oranges. If the total number of fruits is 80 and the number of apples is 3 times the number of oranges, how many apples are there?
Step 1: Let the number of oranges be represented by 'x'.
Step 2: Since the number of apples is 3 times the number of oranges, we can represent the number of apples as '3x'.
Step 3: The total number of fruits (apples + oranges) is given as 80. So, we can write the equation: x + 3x = 80.
Step 4: Combine the terms on the left side of the equation: 4x = 80.
Step 5: To find the value of 'x', divide both sides of the equation by 4: x = 80 / 4.
Step 6: Calculate the value: x = 20. This means there are 20 oranges.
Step 7: Now, to find the number of apples, use the equation for apples: apples = 3x = 3 * 20.
Step 8: Calculate the number of apples: apples = 60.
Algebraic Equations – The question tests the ability to set up and solve a linear equation based on a word problem involving relationships between quantities.
Word Problem Interpretation – The question assesses the skill of translating a real-world scenario into a mathematical model.
