Question

The ticket price for the movies is $7.50 for children and $10.50 for adults. One night 825 people bought tickets and $8005.50 was collected from ticket sales. How many children and how many adults bought tickets? (I need a equation pls)

Answer 1

Answer:

so let a=adults tickdts and c=children tickets

7a+4c=68

sincr it was 14 ppl,

let a+c=14

so, system of equations.

multiply a+c= 14 all by 4 to get

4a+4c=56 subtract this from the other

7a+4c=68

-3a=-12

a=4

plug in to either. for a

4+c=14

c=10

plug into other equation to check.

7(4)+4(10)=68

28+40=68

c=children tickets

7a+4c=68

sincr it was 14 ppl,

let a+c=14

so, system of equations.

multiply a+c= 14 all by 4 to get

4a+4c=56 subtract this from the other

7a+4c=68

-3a=-12

a=4

plug in to either. for a

4+c=14

c=10

plug into other equation to check.

7(4)+4(10)=68

28+40=68