## 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

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)

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6 days 2021-09-10T23:31:32+00:00 1 Answer 0

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