MATHEMATICS COLLEGE

Craig Browning bakes cookies for the elementary school cookie sale. His chocolate chip cookies sell for $1.00 a dozen, and his oatmeal brownie cookies sell for $1.50 a dozen. He will bake up to 20 dozen chocolate chip cookies, and up to 40 dozen oatmeal brownie cookies, but no more than 50 dozen cookies, total. Also, the number of oatmeal brownie cookies will be no more than three times the number of chocolate chip cookies. How many of each kind should Craig make in order for the elementary school to make the most money

Answers

Answer 1
Answer:

Answer and Step-by-step explanation:

Let

Number of chocolate chip cookies = x

Number of oatmeal brownie cookies = y

Bake chocolate chip cookies up to 20 dozen = x≤ 20

Bake oatmeal brownies up to 40 dozen= y≤40

Total cookies = x + y ≤ 50

Number of oatmeal brownie will be no more than three times the number of chocolate chip= y≤3x

From the inequality:

                        X + y=50                          

                         y = 3x

By putting the value of y, we get

    x + 3x = 50

     4x = 50

    X = 12.5

By putting the value of x=12.5 in equation y = 3x, we get

Y = 3(12.5)

    = 37.5

Craig should make 12.5 dozen chocolate chip and 37.5 dozen oatmeal brownies in order to make more money.

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A restaurant mixes homemade barbecue sauce with their smoked pulled pork using a ratio of two cups of sauce for every four pounds of shredded pulled pork. Write two rates to represent this relationship.

Answers

The two rates that can be used to represent this relationship are:

  • 2 cups : 4 pounds, and
  • 1 cup : 2 pounds

What is a ratio?

A ratio is a comparison between two numbers that can be separated with (:) sign or can be represented as a fraction. This comparison deals with the same units.

However,

  • A rate of a ratio deals with the comparison between different units.

From the parameters given:

  • The ratio rates occur between the homemade barbecue and smoked pulled pork

For every 2 cups of barbecue sauce, 4 pounds of pulled pork is used.

Therefore, we can conclude that the two rates that can be used to represent this relationship are:

  • 2 cups : 4 pounds, and
  • 1 cup : 2 pounds

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brainly.com/question/2914376

Help me, please !! For a reason, Tony took 1/3 his money for book and then he took 1/5 again for beer. And now tony have 28$, how many money he had before? Please anwer with the pattern, thank you

Answers

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Rewrite the expression as a product using GCF and distributive property= 27+45= Explain your answer.

Answers

Step-by-step explanation:

The greatest common factor (GCF) of 27 and 45 is 9.

27 + 45

9 (3 + 5)

9 (8)

72

Final answer:

The expression 27 + 45 is rewritten using the Greatest Common Factor (GCF) and the distributive property as 9*(3 + 5) = 72.

Explanation:

The given expression is 27 + 45. To rewrite this using the Greatest Common Factor (GCF) and the distributive property, we first find the GCF of the two numbers. The GCF of 27 and 45 is 9. We then divide each number by the GCF and rewrite the expression using the distributive property.

So, 27 + 45 = 9*(3 + 5) = 9*8 = 72.

The above step is the application of the distributive property, where a*(b + c) = ab + ac.

Learn more about GCF and distributive property here:

brainly.com/question/11023604

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Answers

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Step-by-step explanation:

Ok, we know that:

For the first 4km, we have a fixed price of 9 pesos.

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Answers

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Step-by-step explanation:

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