Question

A movie theater made $13,274 selling 886 tickets. They sell child tickets for $8, adult tickets for $21, and senior tickets for $17. The number of child tickets sold was 47 more than adult tickets. Using c for a child ticket, a for an adult ticket, and s for a senior ticket, what system of equations represents this scenario?Group of answer choicesa + c + s = 8868c + 21a + 17s = 13,274c = a − 47a + c + s = 8868c + 21a + 17s = 13,274c = a + 47a + c + s = 13,2748c + 21a + 17s = 886c + 47 = aa + c + s = 8868c + 21a + 17s = 13,274c + 47 = a

Answer 1

Solution:

Given that;

A movie theater made $13,274 selling 886 tickets.

They sell child tickets for $8, adult tickets for $21, and senior tickets for $17.

Using c for a child ticket, a for an adult ticket, and s for a senior ticket.

For a child's ticket,

$=8\times c=8c$

For an adult's ticket

$=21\times a=21a$

For a senior's ticket

$=17\times x=17x$