SOLUTION: Advanced-purchase tickets to an art exhibition cost $8, while tickets purchased at the door cost $14. If a total of 140 tickets were sold and $1720 was collected, how many advanced
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Question 805519: Advanced-purchase tickets to an art exhibition cost $8, while tickets purchased at the door cost $14. If a total of 140 tickets were sold and $1720 was collected, how many advanced-purchase tickets were sold?
Select the correct answer.
a. 55 tickets
b. 40 tickets
c. 30 tickets
d. 45 tickets
1 x + 1 y = 140 .............1
Total value
8 x + 14 y = 1720 .............2
Eliminate y
multiply (1)by -14
Multiply (2) by 1
-14 x -14 y = -1960
8 x + 14 y = 1720
Add the two equations
-6 x = -240
/ -6
x = 40
plug value of x in (1)
1 x + 1 y = 140
40 + y = 140
y = 140 -40
y = 100
y = 100
x= 40 Number of advance tickets
y= 100 Number of tickets at the door
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