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 transcript:

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) 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?

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?

# of childrenCost per childTotal cost 14$4

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

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

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

# 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 …

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

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.

Children AttendingTotal AttendingAdults Attending

Children AttendingTotal AttendingAdults Attending

Children AttendingTotal AttendingAdults Attending – 150 = 450

Children AttendingTotal AttendingAdults Attending – 150 = 450 c c The total cost for the adults is …

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

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

3) Solve the equation:

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

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?