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One evening, 1255 people went to the movies to see Gone with the wind. The box office receipts totaled to 12,295. The price of admission for adults is $10.00 and for children, it is $7.00. Write an equation for how many people went to see the movie. Write an equation for the amount of money made at the box office. How many of each type of ticket did they sell (adult and children)?

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absor201

Answer:

Number of adult tickets sold = 1170

Number of children tickets sold = 85

Step-by-step explanation:

Let,

x be the number of adult tickets sold

y be the number of child tickets sold

According to given statement;

x+y = 1255      Eqn 1

10x+7y=12295    Eqn 2

Multiplying Eqn 1 by 10

10(x+y=1255)

10x+10y=12550      Eqn 3

Subtracting Eqn 2 from Eqn 3

(10x+10y)-(10x+7y) = 12550 - 12295

10x+10y-10x-7y= 255

3y = 255

Dividing both sides by 3

[tex]\frac{3y}{3}=\frac{255}{3}\\y=85[/tex]

Putting y=85 in Eqn 1

x+85 = 1255

x = 1255-85

x = 1170

Hence,

Number of adult tickets sold = 1170

Number of children tickets sold = 85

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