Question 196606
Elisa sold 110 tickets for the football game. Adult tickets cost $4.00 and 
student tickets cost $2.oo.
 If she collected $340, how many of each kind of ticket did she sell?
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a. Define the two variables for this problem and then write two equations for the problem.
Let a = no. of adult tickets sold
Let s = no. of student tickets sold
:
Total tickets sold equation:
a + s = 110
:
Total amt$ collected equation:
4a + 2s = 340
:
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b. Solve the system of equations you wrote above to find how many adult and
 student tickets were sold.
:
Using the 1st equation for substitution
s = (110-a)
Substitute for s in the 2nd equation
4a + 2(110-a) = 340
4a + 220 - 2a = 340
4a + 2a = 340 - 220
2a = 120
a = {{{120/2}}}
a = 60 adult tickets sold
then
s = 110 - 60
s = 50 student tickets sold
;
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Check solutions using the 2nd equation:
4(60) + 2(50) = 
240 + 100 = 240
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Did this make "perfect sense" to you? Let me know, please.   Carl