applications of cost example: the admission price to a basketball game at southridge high school is...
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:
$ for all children $ for a to( ) ( tll al adu $ tlts n) aken i
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 children Cost per child Total cost
1 4 $4
# of children Cost per child Total cost
1 4 $4
2 4 $8
# of children Cost per child Total cost
1 4 $4
2 4 $8
5 4 $20
# of children Cost per child Total cost
1 $4 $4
2 $4 $8
5 $4 $20
10 $4 $40
# of children Cost per child Total cost
1 $4 $4
2 $4 $8
5 $4 $20
10 $4 $40
c $4 4∙c
The total cost for the children is …
number of children $ per ch( ) ( )ild
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?
number of children $ per ch( ) ( )ild
( )c) 4($
4 dollarsc
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 Attending Total Attending Adults Attending
100 600 500
Children Attending Total Attending Adults Attending
100 600 500
400 600 200
Children Attending Total Attending Adults Attending
100 600 500
400 600 200
150 600 600 – 150 = 450
= 600Total attendance
Total # children = c
Children Attending Total Attending Adults Attending
100 600 500
400 600 200
150 600 600 – 150 = 450
c 600 600 - c
The total cost for the adults is …
number of adults $ per ad( ) ( )ult
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?
number of adults $ per ad( ) ( )ult
600-c( 7) ( )$
7(600 ) dollarsc
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?
$ for all children $ for a to( ) ( tll al adu $ tlts n) aken i
4c =cost for all children
7(600 –c) = cost for all adults
4c 7(600-c)( ) ( ) 3786
3) Solve the equation:
(4c) 7(600-c) 3786
4c+4200-7c 3786
-3c+4200 3786
3c 414
c 138
c = number of children
600 -c = number of adults
c 138
600 600 138c
462138 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?
