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grin007 [14]
3 years ago
6

The following is the recipe to make one dozen muffins: 1 cups flour; 2 cups sugar; 2 tsps. Baking powder; 1 egg; 1 cup Crisco; 1

cup skin milk; 1 cup blueberries. If Ron Regis wants to make 18 muffins, how much of each ingredient will be required for the recipe? (Remember you can split eggs in half)
Mathematics
1 answer:
ivolga24 [154]3 years ago
4 0

1.5 cups of flower, 3 cups sugar, 3 tbsp. baking powder, 1.5 eggs, 1.5 cups of Crisco, 1.5 cups of skim milk (hopefully not skin milk), and 1.5 cups of blueberries. Because 18 is 12 x 1.5 you just multiply all the given numbers by 1.5.

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You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
Solving for the average is simple:
Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown:
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+
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Multiplying for four on each side cancels out the fraction.
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This can be simplified as:
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Negating the 267 on each side will isolate the X value, and give you your final answer:
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Now that you have an answer, ask yourself, "does it make sense?"
I say that it does, because there were two tests that were below average, and one that was just slightly above average. So, it makes sense that you'd want to have a higher-ish test score on the fourth exam.
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