solving systems of Equations by Elimination method:
Tickets for a movie cost $5 for adults and $2 for students. One afternoon 21 tickets were sold and the receipts totled $72. How many of each type of ticket was sold?
a) write a system of equations.
b) solve by using the elimination method.
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Let's suppose the:
Adult tickets = x
Child ticket = y
To find the total tickets sold we will add them.
(same as when u have to find the total of something, u add them)
So here too we will add them,
x + y = Total tickets,
x + y = 21.
okay got that so far.
Now for the second equation,
(let's say one pastry costs about $5. And u want 8 of them, so it means you will write as,
(#of pastries * cost of one pastry)
5(8) for the total amount).
So here we have total amount for tickets sold.
We will write as,
(# of adult tickets *cost of one ticket) + (#of child tickets * cost of one ticket) = Total cost.
So we have,
5x + 2y = 72
Finally two equations,
x + y = 21
5x + 2y = 72
okay i got the system of equation, but how do you solve it by using the elimination method can you tech me that?