The Roller family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park. The Coaster family spends $146 on 3 adult t

Question

The Roller family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park. The Coaster family
spends $146 on 3 adult tickets and 2 youth tickets at the same park. Find the price of adult and youth tickets,

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Đan Thu 4 mins 2021-07-22T10:00:26+00:00 1 Answers 0 views 0

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    2021-07-22T10:01:29+00:00

    Answer:

    34 adult ticket and 22 youth tickets

    Step-by-step explanation:

    Let the price of adult be x

    Let the price of youth tickets be y

    If the Roller family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park, then;

    2x+3y = 134 …. 1

    Also if the Coaster family  spends $146 on 3 adult tickets and 2 youth tickets at the same park then;

    3x+2y = 146 ….. 2

    Solve simultaneously

    2x+3y = 134 …. 1 * 3

    3x+2y = 146 ….. 2 * 2

    _____________

    6x+9y = 402

    6x+4y = 292

    Subtract

    9y-4y = 402-292

    5y = 110

    y = 110/5

    y = 22

    Substitute y =22 into 1;

    From 1;

    2x+3y = 134

    2x+3(22) = 134

    2x+66 = 134

    2x = 134-66

    2x = 68

    x = 34

    Hence there are 34 adult ticket and 22 youth tickets

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