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tino4ka555 [31]
3 years ago
15

A juice company produces 8,064 cartons of juice in 21 days. Each day, they produced the same number of cartons and delivered tho

se cartons to 16 area coffee shops. The cartons were delivered in cases of six cartons per case, and each coffee shop received an equal number of cases in each delivery. How many cases were delivered to each coffee shop each day?
Mathematics
2 answers:
KatRina [158]3 years ago
7 0
8064 cartons in 21 days......8064/21 = 384 cartons per day

the cartons were delivered in cases of 6.....384 / 6 = 64 cases

each of 16 coffee shops received an equal number of cases..
64/16 = 4.....so each coffee shop received 4 cases per day <==
gladu [14]3 years ago
5 0

Answer:

4\ cases

Step-by-step explanation:

Step 1

Divide the total cartons of juice that the company produces in 21 days by the total days

so

\frac{8,064}{21}\frac{cartons}{days}=384\frac{cartons}{day}

Step 2

Divide the total cartons of juice that the company produces in one day by the total coffee shops

so

\frac{384}{16}\frac{cartons}{coffee-shop}=24\frac{cartons}{coffee-shop}

Step 3

Divide the total cartons of juice that the company delivered per day to each coffee shop by six (number of cartons per case)

so

\frac{24}{6}=4\ cases

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Consider the digit expansion of one of the numbers, say,

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• 48 = 45 + 3 = 5•9¹ + 3•9⁰ = 53₉

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• 24 = 18 + 6 = 2•9¹ + 6•9⁰ = 26₉

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874₉ • 70₉ = (8•7)(7•7)(4•7)0₉ = (56)(49)(28)0₉

• 56 = 54 + 2 = 6•9¹ + 2•9⁰ = 62₉

• 49 = 45 + 4 = 5•9¹ + 4•9⁰ = 54₉

• 28 = 27 + 1 = 3•9¹ + 1•9⁰ = 31₉

874₉ • 70₉ = 6(2 + 5)(4 + 3)10₉ = 67710₉

874₉ • 600₉ = (874•6)00₉ = 578600₉

Then

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= 5(13)(20)(2•9 + 3)06₉

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= 5(13)(2•9 + 4)306₉

= 5(13 + 2)4306₉

= 5(1•9 + 6)4306₉

= (5 + 1)64306₉

= 664306₉

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81 - - -- - - -- - - -

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