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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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?

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.

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