A caterer is making cookie trays for upcoming holiday parties. This morning she mad a 4 small trays and 4 large trays, which contain a total

Question

A caterer is making cookie trays for upcoming holiday parties. This morning she mad a 4 small trays and 4 large trays, which contain a total of 288 cookies

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Liliana 2 weeks 2021-10-08T03:54:37+00:00 1 Answer 0

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    2021-10-08T03:56:28+00:00

    Your question is not complete however, I will input what is likely to complete it.

    Question:

    A caterer is making cookie trays for upcoming holiday parties. This morning she mad a 4 small trays and 4 large trays, which contain a total of 288 cookies. In the evening, she made 1 small tray and 3 large trays, which contain a total of 180 cookies. How many cookies do the different sized trays contain?

    Answer:

    Each small tray can contain 18 cookies, while each large tray can contain 54 cookies

    Step-by-step explanation:

    Let assign some variables by denoting S = small trays and L = large trays

    In the morning; 4S +4L = 288 –eqn 1

    In the evening; 1S + 3L = 180 –eqn 2

    From eqn 2, S = 180 – 3L —eqn 3

    Substitute eqn 3 into eqn 1

    4(180 – 3L) + 4L = 288

    720 – 12L + 4L = 288

    8L = 432

    L = 432/8 = 54

    L = 54

    Substitute L = 54 into eqn 3

    S = 180 – 3L

    S = 180 – 3(54)

    S = 180 – 162

    S = 18

    Therefore, each small tray can contain 18 cookies, while each large tray can contain 54 cookies.

    Note:

    Use this second part of this question (my framed part of the question) to complete yours. You should get your answer adequately.

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