The admission fee for student is $8 and the admission fee for Adult is $15. In one hour, 12 adults and students enter the museum and a Total of $131 in admission was paid.

Question

Write a linear system to model this problem and solve this problem graphically. Check you answer by substituting into the linear system you found.

I have try to do my work , please help me correct if I'm wrong:

x= # of student
y=# of adult
Linear system is:
x+y=12
8x+15y=131
***not sure if it 12 or add #of adult and student***

x-intercept: y=0
8x+15y=131
8x+15(0)=131
8x=131
x=16.375

y-intercept: x=0
8x+15y=131
8(0) +15y=131
15y=131
y=8.73

I'm not sure what I did wrong But every time I try to graph, the two intercept number are not right when I Verify.

Please HElp .Thank you

Answer 1

Remember, that your x and y have to be whole numbers, since they represent number of people, (can't have partial people)

What they want you to do is graph both
x+y = 12 and 8x + 15y = 131.
The intersection of the two lines will be your answer.

What you did is simply find the x and y intercept of one of the equations, which has nothing to do with the actual answer to the question, it merely let's you plot your 8x+15y=131 equation.
Find those intercepts as best as you can and draw the line, then do the same for the other line.
You should be able to tell that they cross at (7,5)

http://www.wolframalpha.com/input/?i=plot+8x+%2B+15y+%3D+131+%2C+x%2By%3D12

notice that my webpage shows only the important part of the graph.

So what is your conclusion ?