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Gwar [14]
3 years ago
6

A coffee supply store waits until the orders for its special coffee blend reach 100 pounds before making up a batch. Coffee sell

ing for $10.75 a pound is blended with coffee selling for $3.25 a pound to make a product that sells for $5.65 a pound. How much of each type of coffee should be used to make the blend that will fill the orders?
Mathematics
1 answer:
Daniel [21]3 years ago
7 0
Let x represent the number of pounds of $10.75/lb coffee used in the mix.
.. 10.75x +3.25(100 -x) = 5.65*100 . . . . . . total cost of coffee blend
.. x(10.75 -3.25) = 100*(5.65 -3.25) . . . . . .separate x-terms from non-x terms
.. x = 240/7.5 = 32

32 pounds of $10.75/lb coffee should be used
68 pounds of $3.25/lb coffee should be used
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So to solve this problem, we can either do guess and check, or solve an equation.


Let's do the equation, since it will work for all problems, even when you're not given a list of possible answers.


So, to begin, let's define our unknown.

We can represent the number as "n"


So, 6 percent of "n" is equal to 270

To find a "percent" of a number, you need to multiply the number by the percentage.

So, 6 percent as a decimal is .06

This is because a percent is a fraction divided by 100 (6/100)


.6\times n=270\\\n=270\div.6\\n= 4500


The number is 4,500

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The term "interest" refers to the additional revenue received by the investor over and above the investment or the additional debt owed by the borrower over and above the amount borrowed. Simple interest and compound interest are the two different kinds of interest. The sorts of interests are covered in further detail in the interest formula. Let's explore the interest formula in further detail and go through several cases.

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Answer:

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