contestada

Admission to a movie theater is $6 for children and $14 for adults. On a certain day, 63 people bought tickets at the theater and $530 was collected. How many children's tickets were sold and how many adult's tickets were sold

Respuesta :

MrRoyal

Answer:

19 adults

44 children

Step-by-step explanation:

Given

Represent Children with C and Adults with A

So, we have:

[tex]6C + 14A = 530[/tex]

[tex]A + C = 63[/tex]

Required

Determine the values of A and C

Make A the subject in [tex]A + C = 63[/tex]

[tex]A = 63 - C[/tex]

Substitute 63 - C for A in the first equation

[tex]6C + 14(63 - C) = 530[/tex]

[tex]6C + 882 - 14C = 530[/tex]

Collect Like Terms

[tex]6C - 14C = 530 - 882[/tex]

[tex]-8C = -352[/tex]

[tex]8C = 352[/tex]

Solve for C

[tex]C = 352/8[/tex]

[tex]C = 44[/tex]

Recall that:

[tex]A = 63 - C[/tex]

Substitute 44 for C

[tex]A = 63 - 44[/tex]

[tex]A = 19[/tex]

Otras preguntas