word problem-help please!

K

Kim

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Aug 31, 2005
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An auditorium sold 1100 tickets. Prices were $5 for adults and $3 for children. They took in $4780. How many adult tickets and how many children's tickets were sold? (how do i set up this equation?)
 
They sold A adult tickets
They sold C child tickets
A+C=1100
5A+3C=4780
 
Pick variables -- say, "a" and "c" -- for the number of adult tickets and the number of child tickets. Write an equation, in terms of these variables, for the total number of tickets. This is your first equation.

If you sold 2 adult tickets, how much money did you get?
If you sold 5 adult tickets, how much money did you get?
If you sold "a" adult tickets, how much money did you get?

If you sold 2 child tickets, how much money did you get?
If you sold 5 child tickets, how much money did you get?
If you sold "c" child tickets, how much money did you get?

Write an equation that reflects the amount of money you got for "a" adult tickets and "c" child tickets. This is your second equation.

Solve the system.

Eliz.
 
still confused

thanks for replying, i understand the a + c = 1100, and 5a + 3c = 4780, i just don't know how to combine them and come up with a single equation that will lead me to the answer. Any ideas?
 
Either solve the first equation for one of the variables and substitute that into the second equation, or use one of the techniques they've taught you (addition, elimination, Cramer's Rule, matrices, etc) for solving systems of equations. (I don't know what you've covered, and there are a lot of options.)

Eliz.
 
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