SOLUTION: Marc sold 497 tickets for the school play. Student tickets cost $4 and adult tickets cost $5. Marc's sales totaled $2283. How many of each type of ticket did Marc sell. This is my

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Marc sold 497 tickets for the school play. Student tickets cost $4 and adult tickets cost $5. Marc's sales totaled $2283. How many of each type of ticket did Marc sell. This is my       Log On

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Question 977022: Marc sold 497 tickets for the school play. Student tickets cost $4 and adult tickets cost $5. Marc's sales totaled $2283. How many of each type of ticket did Marc sell. This is my summer homework problem and im going into geometry next year so I need to know the algebra fundamentals and iv seen many problems like this and never been able to solve it. So if you help thank you so much.
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Organize all the data.

497 tickets;
4 dollars per ticket, STUDENT
5 dollars per ticket, ADULT
2283 dollars, sales revenue for the 497 tickets.

Question: How many adult tickets and how many student tickets?

ASSIGN VARIABLES
y, count of adult tickets
x, count of student tickets

FORM EQUATIONS
highlight%28system%28x%2By=497%2C4x%2B5y=2283%29%29

SOLVE THE SYSTEM FOR x AND y.