At a local basketball game all tickets are the same price and all souvenirs are the same price Mr. Smith put two tickets to this basketball

Question

At a local basketball game all tickets are the same price and all souvenirs are the same price Mr. Smith put two tickets to this basketball game and one souvenir for a total of $17.25 Mrs. Lockhart bought five tickets the same game and to souvenirs for a total of $42 how much was your ticket to this game?

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Vivian 4 days 2021-09-11T16:56:50+00:00 1 Answer 0

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    2021-09-11T16:58:00+00:00

    Answer: the cost of a ticket to the game is $7.5

    Step-by-step explanation:

    Let x represent the price of each ticket.

    Let y represent the price of each souvenir.

    Mr. Smith put two tickets to this basketball game and one souvenir for a total of $17.25. This is expressed as

    2x + y = 17.25- – – – – – – – – – -1

    Mrs. Lockhart bought five tickets for the same game and 2 souvenirs for a total of $42

    This is expressed as

    5x + 2y = 42- – – – – – – – – – -2

    Multiplying equation 1 by 2 and equation 2 by 1. It becomes

    4x + 2y = 34.5

    5x + 2y = 42

    Subtracting, it becomes

    – x = – 7.5

    x = 7.5

    Substituting x = 7.5 into equation 1, it becomes

    2 × 7.5 + y = 17.25

    15 + y = 17.25

    y = 17.25 – 15

    y = 2.25

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