Couldn't answer this word problem.. any help?

Question

There are _____Grade 9 students at a high school, and 40% of these students went to the football game. The full price for a ticket was $8.00, but half of the grade 9 students who went to the game wore school colors, so they only had to pay $2.00 for a ticket. What was the total amount of money collected from the grade 9 students who attended the football game?

Answer 1

There are too many variables to actually answer the question, but you can set up the formula.

 

Where X is the number of students at the school:

 

$ = 8[.5(.4x)] + 2[.5(.4x)]

 

In other words, the total amount of money made is $8 times half of the 40% of the student body that went, and $2 times the other half.

 

You can simplify it to be:

$ = 1.6x + .4x

$ = 2x

 

Or in other words, they made $2 times the number of students at the school.

 

You'd need more data to solve the equation.  Hope this helps, Lacona!