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shaylawaldo11
27.09.2020 •
Mathematics
Columbia Theater Company reviewed their receipts from opening weekend. They sold 83 adult tickets and 42 child tickets on Friday night, collecting a total of $874. On Saturday night, they collected $1151 from 102 adults and 67 children. If 48 adults and 26 children attended the matinee on Sunday, how much money did the theater collect from ticket sales?
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Ответ:
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
If 48 adults and 26 children attended the matinee on Sunday, the theater raised $ 514 from ticket sales.
Ответ:
150.94 or 151 ft