A group of 41 teachers went to Disneyland. A regular ticket cost $113. The senior rate is $109. If the total admission price was $4561, how

Question

A group of 41 teachers went to Disneyland. A regular ticket cost $113. The senior rate is $109. If the total admission price was $4561, how many teachers got the senior rate?

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Athena 4 weeks 2021-09-19T02:34:37+00:00 2 Answers 0

Answers ( )

  1. Ava
    0
    2021-09-19T02:35:57+00:00

    Answer:

    23 teachers

    Step-by-step explanation:

    x: regular rate.

    y: senior rate.

    A group of 41, so that means that in total that there were 41 teachers and it could be written as x + y = 41.

    A regular ticket cost $113. The senior rate is $109. If the total admission price was $4561

    113x + 109y = 4561

    now you should Substitute x = 41 and subtract it by (y) because it also has teachers who got regular praise

    113(41 – y) + 109y = 4561.

    now you distribute 113

    4633 – 113y + 109y = 4561.

    subtract 4633 on both sides

    – 113y + 109y = 4561 – 4633

    now you should combine like terms

    – 4y = – 72

    divided both sides by -4

    y = – 72 / – 4

    y = 18

    now we have got the teachers who got regular praise

    41-18 = 23

    23 teachers

  2. Ava
    0
    2021-09-19T02:36:26+00:00

    Answer: 23 teachers got the senior rate

    Step-by-step explanation:

    Let x represent the number of teachers that got regular tickets.

    Let y represent the number of teachers that got senior rate.

    .A group of 41 teachers went to Disneyland. It means that

    x + y = 41

    A regular ticket cost $113. The senior rate is $109. If the total admission price was $4561, it means that

    113x + 109y = 4561- — – – – – – – – -:- -1

    Substituting x = 41 – y into equation 1, it becomes

    113(41 – y) + 109y = 4561.

    4633 – 113y + 109y = 4561.

    – 113y + 109y = 4561 – 4633

    – 4x = – 72

    x = – 72 / – 4

    x = 18

    y = 41 – y = 41 – 18

    y = 23

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