The Lee’s spend $31 on movies tickets for 2 adult and 3 children. The Smith’s spent $26 on movie tickets for 2 adults and 2 children. What a

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The Lee’s spend $31 on movies tickets for 2 adult and 3 children. The Smith’s spent $26 on movie tickets for 2 adults and 2 children. What are the prices for an adult and child movie ticket?

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    2021-09-06T06:09:40+00:00

    First we write the variables:
     x: cost of the ticket for adults.
     y: cost of ticket for children.
     We write the system of equations:
     2x + 3y = 31
     2x + 2y = 26
     We solve the system:
     Step 1:
     2x + 3y = 31
     -2x-2y = -26
     Step 2:
     y = 5
     Step 3:
     2x + 3y = 31
     2x = -3y + 31
     x = (- 3y + 31) / 2
     x = (- 3 * (5) +31) / 2
     x = 8
     Answer:
     the prices for an adult and child movie ticket are:
     adults = $ 8
     children = 5 $

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