SOLUTION: A school chorus concert is held in the school auditorium which has 120 seats. Student tickets cost $3 and adult cost $5 each. The schools goal is to sell $400 worth of tickets for

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Question 1154900: A school chorus concert is held in the school auditorium which has 120 seats. Student tickets cost $3 and adult cost $5 each. The schools goal is to sell $400 worth of tickets for the concert. Write a system of linear inequalities
that can be used to find the possible of combinations of student tickets,x, and adult tickets,y, that would satisfy the schools goal.
a. graph the solution.
b. Will selling 40 student and 70 adult tickets meet the schools goals? explain
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +3x+%2B+5y+=+400+
(2) +x+%2B+y+=+120+
Here's the plot of the solution:
+graph%28+400%2C+400%2C+-40%2C+200%2C+-50%2C+200%2C+120+-+x%2C+%28-3%2F5%29%2Ax+%2B+80+%29+
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+x+=+40+
+y+=+70+
(1) +3%2A40+%2B+5%2A70+=+120+%2B+350+
(1) +120+%2B+350+=+470+
Yes, their goal would be met
There would be 10 empty seats, but they would
make the goal.
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check:
Multiply both sides of (2) by +3+ and
subtract (1) from (2)
(1) +3x+%2B+5y+=+400+
(2) +-3x+-+3y+=+-360+
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+2y+=+40+
+y+=+20+
and
(2) +x+%2B+20+=+120+
(2) +x+=+100+
Looks like a match to the plot
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