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Law Incorporation [45]
2 years ago
14

Abel is making brownies for a bake sale. The recipe shows the amount of each ingredient needed to make 9 brownies. Complete each

statement to adjust the ingredients for each new situation if Abel uses this recipe.

Mathematics
1 answer:
mixas84 [53]2 years ago
5 0

Answer:

In order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.

Step-by-step explanation:

As the recipe is missing in this question, the recipe is found online which given following information

  • Abel needs 5 cups of flour to make brownies.
  • If Abel uses 4 cups of sugar.
  • he will need to use 2 cups of cocoa powder.
  • The recipe will make brownies if Abel uses only 1 egg.

Abel has to make 45 brownies for the sale, this is also missing in this question, however is given in the reference question linked here.

This recipe is to make 9 brownies. Now for 45 brownies the multiplier is found as 45/9=5. So by multiplying quantity of all the ingredients by 5, Abel will be able to make 45 brownies.

Now  in order to make 45 brownies

  • Abel needs 5*5 =25 cups of flour to make brownies.
  • If Abel uses 5*4=20 cups of sugar.
  • he will need to use 5*2=10 cups of cocoa powder.
  • The recipe will make brownies if Abel uses only 5*1=5 egg.

So in order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.

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quester [9]
The sum of the 18 numbers is 22.5 x 18 = 405.
Let the numbers be x, x + 1, x + 2, . . ., x + 17

Sum of n term of an arithmetic sequence = n/2(a + l)
18/2(x + x + 17) = 405
9(2x + 17) = 405
2x + 17 = 405/9 = 45
2x = 45 - 17 = 28
x = 28/2 = 14

Therefore, the smallest integer is 14.
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Suppose there are 100 cookies in a jar. if 30 are chocolate chip, 40 are oatmeal raisin, 20 are peanut butter, and 10 are sugar
lubasha [3.4K]
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Sylvia wants to mix 100 pounds of Breakfast Blend coffee that will send for $25 per pound. She is using two types of coffee to c
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Answer: Sylvia should use 35 pounds of Kona coffee and 65 pounds of Columbian coffee

Step-by-step explanation:

Let x represent the number of pounds of Kona coffee that Sylvia should use.

Let y represent the number of pounds of Columbian coffee that Sylvia should use.

Sylvia wants to mix 100 pounds of Breakfast Blend coffee. This means that

x + y = 100

She is using two types of coffee to create the mixture. Kona coffee sells for $51 per pound and Columbian coffee sells for $11 per pound and the mixture would sell for $25 per pound.

This means that

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Substituting x = 100 - y into equation 1, it becomes

51(100 - y) + 11y = 2500

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y = - 2600/-40

y = 65

x = 100 - y

x = 100 - 65 = 35

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