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?

Question

experimentx · Answer

3 times boys = girls or opposite?

anonymous · Answer

Do you know how to solve it?

experimentx · Answer

of course

anonymous · Answer

Can you give me an example about this?

experimentx · Answer

let a class have times boys than girls
if x be girls than the  no of boys = 3x

now if girls hit on average 18, then total points scored by girls = 18x
the total number of students = x +3x = 4x

the total points scored = 17*(4x)

now total points scored by boys = 17*(4x) - 18x

average scored by boys = (17*(4x) - 18x)/3x

anonymous · Answer

How did you get 4x? Where 4x come from?

experimentx · Answer

adding girls + boys

anonymous · Answer

You meant 3x (girls) + 1x (boys), right?

experimentx · Answer

yes

anonymous · Answer

68x - 18x/3x?

experimentx · Answer

68x is the total no of points scored by students, right

so points scored by girls = 18x ... isn't it?

anonymous · Answer

Yes, it is.

experimentx · Answer

so subtract it form total points to get the points scored by boys, .. and you have points scored by boys and also you know total no of boys, so calculate average

anonymous · Answer

68x-18x = 50x/3x?

experimentx · Answer

cut out x's on right had side .. you have 50/3 = 16.666