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A bakery packages 288 total boxes of cupcakes each month. The bakery has 3 different sizes of cartons. the small box holds 4 cupcakes, and 1/4 of the total boxes are small. the medium box holds 6 cupcakes, and 1/3 of the total boxes are medium the large cartoon holds 12 cupcakes, and the rest of the total boxes are large. determine how many of each size box is needed each month

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Answer:

Bs = 72

Bm = 96

Ml = 120

Step-by-step explanation:

We have that to total 288 boxes of cupcakes (1/4) are small (Bs), (1/3) are medium (Bm) and the rest (x) are large (Bl), so we must find (x) and the total of each of the boxes needed each month .

[tex]x=1-\frac{1}{4}-\frac{1}{3}\\ 12x=12-3-4\\12x=12-7=5\\x=\frac{5}{12}[/tex]

knowing that Bs=T/4, Bm=T/3 and Bl=5T/12: T=288

Bs = 288/4      = 72

Bm = 288/3     = 96

Bl   = 5*288/12 = 120

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