Tickets for the movies are $7 for adults and $4 for children. Fourteen people paid a total of $68 for tickets. How many were adults and how many were children?

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

28 plus 40=68 is how many adults and children