Problema Solution
A physical education class has three times as many girls as boys. During a class basketball game, the girls average 18 points each, and the class as a whole averages 17 points per person. How many points does each boy score on average?
Answer provided by our tutors
Let
x = the number of boys
3x = the number of girls
b = the number of points each boys scores on average
Since the girls average 18 points each the total number of points that the girls score altogether is: 3x*18 = 54x points.
The total number of points that the boys score altogether is: bx
The class as a whole averages 17 points per person means:
(54x + bx)/(x + 3x) = 17
(54 + b)/(1 + 3) = 17
........
click here to see the equation solved for b
........
b = 14 points
Each boy scores 14 points on average.