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A 2-column table with 5 rows. column 1 is labeled packaging problems with entries box printing error, underweight box, too many raisins, no problems, total. column 2 is labeled frequency with entries 5, 10, 20, 965, 1,000. a cereal manufacturer checks a set number of cereal boxes every day to better understand problems in the manufacturing process. the table at right describes possible packaging problems and the frequency of each problem. if the cereal manufacturer packages 10,000 boxes of cereal a day, about how many boxes would you expect to have too many raisins?

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The factory packages 2525 fruit cereal boxes.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

O = number of oat cereal, w = number of wheat cereal, f = number of fruit cereal:

o + w + f = 4250

o = w + 715

f = 5w

The second equation tells us the value of o in terms of w, and the third equation tells us the value of f in terms of w, so we can plug in "w + 715" for o and "5w" for f in the first equation:

o + w + f = 4250

(w + 715) + w + (5w) = 4250

Then, add like terms and subtract and divide to isolate the w:

w + 715 + w + 5w = 4250

7w + 715 = 4250                           Subtract 715 on both sides:

7w = 3535                                    Divide by 7 on each side:

w = 505

Now that we have w, we can plug it into the last equation to find f, the number of fruit cereal boxes:

f = 5w

f = 5(505)

f = 2525

Therefore, the factory packages 2525 fruit cereal boxes.

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