Three times as many children as adults attended a concert Saturday. An adults ticket cost $7 and a child's ticket cost $3. The theater collected a total of $6000. How many people bought tickets.

Answer 1

a = 3c
7a+3c = 6000
so,
24c = 6000
get c, then a.

now you need a+c = ?

Answer 2

let a
let c

c =3a
3c +7a = 6000
3(3a) + 7a = 6000
9a +7a = 6000
16a = 6000
16a/16 =600/16
a = 375
c = 3a
c = 3(375) = 1125
people 1500

Answer 3

a = 3c
7a+ 3c = 6000
21c + 3c = 6000
24c = 6000
24c/24 =6000/24
c =250
a = 3c
a = 3(250) = 750
a+c = 1000