Question 1012744: There are a total of 23 students and adults going to the zoo. Adult tickets cost $7.25 and student tickets cost $5.50 to attend the zoo. The total cost for this group would be $137.
Requirements:
Write two equations and put them into a matrix, then solve by using determinants.
What is the system determinant, x determinant, and y determinant?
When writing your equations, let x = number of adult tickets and y = number of student tickets.
How many students went? How many adults went?
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website! Adults: x
Students: y
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x+y = 23 and therefore the adults are 23-y, so
x = 23-y (if you want to express it algebraically, "subtract y, both sides)
7.25x+5.50y = 137 Let's substitute for x
7.25(23-y)+5.50y = 137 Multiply on left to eliminate parenthesis:
166.75-7.25y+5.50y = 137 Add/subtract y on left and subtract 166.75 on both sides:
-1.75y = -29.75 Divide both sides by -1.75 (and remember that -/- = +)
y = 17 This is how many students went. And we said that:
x= 23-y
x= 23-17
x= 6 adults also went
J
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