A bag contains 5 red balls and 3 blue balls. If the average weight of the red ba
Practice Questions
Q1
A bag contains 5 red balls and 3 blue balls. If the average weight of the red balls is 200 grams and the blue balls is 150 grams, what is the average weight of all the balls?
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Questions & Step-by-Step Solutions
A bag contains 5 red balls and 3 blue balls. If the average weight of the red balls is 200 grams and the blue balls is 150 grams, what is the average weight of all the balls?
Correct Answer: 181.25 grams
Step 1: Identify the number of red balls and their average weight. There are 5 red balls, and each weighs 200 grams.
Step 2: Calculate the total weight of the red balls. Multiply the number of red balls by their average weight: 5 red balls * 200 grams = 1000 grams.
Step 3: Identify the number of blue balls and their average weight. There are 3 blue balls, and each weighs 150 grams.
Step 4: Calculate the total weight of the blue balls. Multiply the number of blue balls by their average weight: 3 blue balls * 150 grams = 450 grams.
Step 5: Add the total weight of the red balls and the total weight of the blue balls to find the total weight of all the balls: 1000 grams + 450 grams = 1450 grams.
Step 6: Count the total number of balls. There are 5 red balls + 3 blue balls = 8 balls in total.
Step 7: Calculate the average weight of all the balls. Divide the total weight by the total number of balls: 1450 grams / 8 balls = 181.25 grams.
Weighted Average Calculation – The question tests the ability to calculate the average weight of a group of items based on their individual weights and quantities.
Basic Arithmetic Operations – The question requires performing multiplication and addition to find total weights before calculating the average.
