a mixture of blue and green balls contains 25% by number blue balls. mass of each blue ball is 40g and mass of each green ball is 20g then calculate average mass of ball.
Answers
Answer:
25g
Explanation:
Let total no of balls -100
Green balls-75%=75
Blue balls-25%=25
By multiplying respective mass by respective no of balls we get
40*25+20*75=1000+1500
Therefore, average mass 1000+1500/100 =25g
Answer:
The correct answer is 25 gm.
Explanation :
Given Data and Assumptions :
Let the total number of the balls are 100 .
Then, the mixture consists of 25% of blue balls and 75 % of green balls.
So, Number of Blue balls = 25
Number of green balls = 75
Mass of each blue ball = 40 g
Mass of each green ball = 20 g
Formula to be used :
Average = Sum of outcomes / Number of Outcomes.
Average mass of the balls = Total weight of the mixture/ Number of balls
Calculations :
Multiplying the number of balls with the respective weight of the balls to get the total mass of the mixture.
We have :
(Number of blue balls)×(Weight of blue ball) + (Number of green balls) ×(Weight of green balls) = 25 × 40 + 75 × 20 = 1000 + 1500 = 2500 .
Now, Calculating Average mass Of the balls =Total mass of balls / Total number of balls.
So, Average mass = 2500/100 = 25 gm
Hence, the average mass of the balls is 25 gm.
Concept :
- An average is a single number calculated as the average of a set of numbers, typically calculated as the sum of the numbers divided by the total number of numbers in the set.
- The arithmetic mean is another name for an average.
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