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Applications of Cost Example: The admission price to a basketball game at Southridge High School is $4 for children and $7 for adults. If 600 tickets were.

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Presentation on theme: "Applications of Cost Example: The admission price to a basketball game at Southridge High School is $4 for children and $7 for adults. If 600 tickets were."— Presentation transcript:

1 Applications of Cost Example: The admission price to a basketball game at Southridge High School is $4 for children and $7 for adults. If 600 tickets were sold at Friday nights game for a total of $3786, how many children attended? 1) Variable declaration: Let c represent the number of children that attended.

2 2) Write the equation: The admission price to a basketball game at Southridge High School is $4 for children and $7 for adults. If 600 tickets were sold at Friday nights game for a total of $3786, how many children attended?

3 Write an expression for the total amount of money for all the children. The admission price to a basketball game at Southridge High School is $4 for children and $7 for adults. If 600 tickets were sold at Friday nights game for a total of $3786, how many children attended?

4 # of childrenCost per childTotal cost 14$4

5 # of childrenCost per childTotal cost 14$4 24$8

6 # of childrenCost per childTotal cost 14$4 24$8 54$20

7 # of childrenCost per childTotal cost 1$4 2 $8 5$4$20 10$4$40

8 # of childrenCost per childTotal cost 1$4 2 $8 5$4$20 10$4$40 c$44∙c The total cost for the children is …

9 The admission price to a basketball game at Southridge High School is $4 for children and $7 for adults. If 600 tickets were sold at Friday nights game for a total of $3786, how many children attended? c = number of children

10 Now consider the total cost for the adults. The admission price to a basketball game at Southridge High School is $4 for children and $7 for adults. If 600 tickets were sold at Friday nights game for a total of $3786, how many children attended? First determine an expression representing the number of adults.

11 Children AttendingTotal AttendingAdults Attending 100600500

12 Children AttendingTotal AttendingAdults Attending 100600500 400600200

13 Children AttendingTotal AttendingAdults Attending 100600500 400600200 150600600 – 150 = 450

14 Children AttendingTotal AttendingAdults Attending 100600500 400600200 150600600 – 150 = 450 c600600 - c The total cost for the adults is …

15 The admission price to a basketball game at Southridge High School is $4 for children and $7 for adults. If 600 tickets were sold at Friday nights game for a total of $3786, how many children attended? 600 -c = number of adults

16 Now back to our original cost equation: The admission price to a basketball game at Southridge High School is $4 for children and $7 for adults. If 600 tickets were sold at Friday nights game for a total of $3786, how many children attended? 4c =cost for all children 7(600 –c) = cost for all adults 4c =cost for all children 7(600 –c) = cost for all adults

17 3) Solve the equation:

18 c = number of children 600 -c = number of adults c = number of children 600 -c = number of adults 138 children 462 adults 138 children 462 adults 4) Write an answer in words, explaining the meaning in light of the application

19 Since the number of children was what was asked for … The total number of children was 138. The admission price to a basketball game at Southridge High School is $4 for children and $7 for adults. If 600 tickets were sold at Friday nights game for a total of $3786, how many children attended?

20

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