SOLUTION: 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 ot ticket did she sell?
a.
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-> SOLUTION: 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 ot ticket did she sell?
a.
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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 ot ticket did she sell?
a. Define the two variables for this problem and then write two equations for the problem.
b. Solve the system of equations you wrote above to find how many adult and student tickets were sold. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Elisa sold 110 tickets for the football game. Adult tickets cost $4.00 and
student tickets cost $2.oo.
If she collected $340, how many of each kind of ticket did she sell?
:
a. Define the two variables for this problem and then write two equations for the problem.
Let a = no. of adult tickets sold
Let s = no. of student tickets sold
:
Total tickets sold equation:
a + s = 110
:
Total amt$ collected equation:
4a + 2s = 340
:
:
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 =
a = 60 adult tickets sold
then
s = 110 - 60
s = 50 student tickets sold
;
:
Check solutions using the 2nd equation:
4(60) + 2(50) =
240 + 100 = 240
:
:
Did this make "perfect sense" to you? Let me know, please. Carl
