Answer:
A senior citizen costs $8
Step-by-step explanation:
Represent senior citizens with S and children with C.
The first day is represented as:
[tex]3S + C = 38[/tex]
The second day is represented as:
[tex]3S + 2C = 52[/tex]
Required
Solve for C and S
Make C the subject in the first equation
[tex]C = 38 - 3S[/tex]
Substitute 38 - 3S for C in the second equation
[tex]3S + 2(38 - 3S) = 52[/tex]
[tex]3S + 76 - 6S = 52[/tex]
Collect Like Terms
[tex]3S - 6S = 52 - 76[/tex]
[tex]- 3S = -24[/tex]
Divide through by -3
[tex]S = 8[/tex]
Recall that: [tex]C = 38 - 3S[/tex]
[tex]C = 38 - 3 * 8[/tex]
[tex]C = 38 - 24[/tex]
[tex]C = 14[/tex]
Hence, a senior citizen costs $8
