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New Horizon Movie Cineplex has a theater that seats 150 people. They sell adult tickets at $10.00 a piece while children can see a movie for $8.50 each. How many of each type of ticket does the Cineplex need to sell in order to make $1395?

Respuesta :

80 adult tickets and 70 children tickets


calculista

Answer:

[tex]70\ children\ tickets[/tex]

[tex]80\ adult\ tickets[/tex]

Step-by-step explanation:

Let

x------> the number of adult tickets

y------> the number of children tickets

we know that

[tex]x+y=150[/tex] -----> isolate the variable x

[tex]x=150-y[/tex] -----> equation A

[tex]10x+8.5y=1,395[/tex] -----> equation B

substitute equation A in equation B and solve for y

[tex]10(150-y)+8.5y=1,395[/tex]

[tex]1,500-10y+8.5y=1,395[/tex]

[tex]-1.5y=1,395-1,500[/tex]

[tex]1.5y=105[/tex]

[tex]y=70\ children\ tickets[/tex]

Find the value of x

[tex]x=150-70=80\ adult\ tickets[/tex]

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