SOLUTION: To visit an Museum,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

Question 960352: To visit an Museum,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.
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.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Your two equations are correct
x +y = 12
8x + 15y = 131
********************
we want the coordinates of the point of intersection of the two lines, first put each line into standard notation, y = mx + b
y = -x + 12
y = -8x/15 + 131/15
********************
here are the two lines, first equation is red and second equation is green

point of intersection is (7, 5)
******************************
check answer with original equations
7 + 5 = 12
12 = 12
8*7 + 15*5 = 131
56 + 75 = 131
131 = 131
our answer checks

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