Kathryns school is selling tickets to the annual dance competition on the first day of tickets sells the school sold for one senior citizen

Question

Kathryns school is selling tickets to the annual dance competition on the first day of tickets sells the school sold for one senior citizen ticket and four child ticketsFor a total of $27 the school took in $82 on the second day by selling six senior citizen tickets and eight child tickets what is the price each of one senior citizen ticket and one child ticket

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Nho 2 months 2021-07-29T19:35:39+00:00 1 Answers 3 views 0

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    2021-07-29T19:36:59+00:00

    Answer:

    Each senior citizen ticket costs $7 and each child ticket costs $5.

    Step-by-step explanation:

    Let,

    x be the price of each senior citizen ticket

    y be the price of each child ticket

    According to given statement,

    x+4y=27     Eqn 1

    6x+8y=82    Eqn 2

    Multiplying Eqn 1 by 2

    2(x+4y=27)

    2x+8y=54      Eqn 3

    Subtracting Eqn 3 from Eqn 2

    (6x+8y)-(2x+8y)=82-54

    6x+8y-2x-8y=28

    4x=28

    Dividing both sides by 4

    \frac{4x}{4}=\frac{28}{4}\\x=7

    Putting x=7 in Eqn 1

    7+4y=27

    4y=27-7

    4y=20

    Dividing both sides by 4

    \frac{4y}{4}=\frac{20}{4}\\y=5

    Hence,

    Each senior citizen ticket costs $7 and each child ticket costs $5.

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