If the number of $8 child tickets is 17 less than 3 times the number of $12 adult tickets and the theater took in $584, how many
of each ticket were sold?
2 answers:
Answer:
The number of child tickets sold was 43 and the number of adult tickets sold was 20
Step-by-step explanation:
Let
x ----> the number of child tickets sold
y ----> the number of adult tickets sold
we know that
-----> equation A
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (43,20)
see the attached figure
therefore
The number of child tickets sold was 43 and the number of adult tickets sold was 20
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Using this value for p and (3, 1) as the vertex, we have our equation