Answer:
If 48 adults and 26 children attended the matinee on Sunday, the theater raised $ 514 from ticket sales.
Step-by-step explanation:
A system of linear equations is a set of linear equations that have more than one unknown, which are related through the equations.
In this case, being:
- A: adult ticket price
- C: child ticket price.
The system of equations is:
The substitution method consists of isolating one of the two unknowns in one equation to replace it in the other equation. In this case you isolate C from the first equation:
83*A + 42*C= 874
42*C= 874 - 83*A
Substituting this expression in the second equation:
and solving:
Multiply through by 42
4,284*A + 67*(874-83*A)= 48,342
4,284*A + 58,558 - 5,561*A= 48,342
4,284*A - 5,561*A= 48,342 - 58,558
-1,277*A= -10,216
A= 8
Knowing that: then:
C= 5
The price of an adult ticket is $8 and a child is $5. If 48 adults and 26 children attended the matinee on Sunday, then:
$8*48 adults + $5* 26 childen= $514
<u><em> If 48 adults and 26 children attended the matinee on Sunday, the theater raised $ 514 from ticket sales.</em></u>
<u><em></em></u>