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#1
09-07-2007, 01:25
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 matrices word problem help? Suppose you are making mosaic tiles from 3 types of stained glass. You need 6 square feet of glass for the project and you want there to be as much iridescent glass as red and blue glass combined. The cost of a sheet of glass having an area of 0.75 square foot is $6.50 for iridescent, $4.50 for red, and $5.50 for blue. How many sheets of each type should you purchase if you plan to spend $45 on the project?I don't understand this. Can anyone help?Thank you.
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#2
09-07-2007, 01:56
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| Ok, the information we can drag out of the words is that:a) the total area is 6 sq ft, so 0.75i + 0.75r + 0.75b = 6b) the area of iridescent = area blue + area red; so 0.75i=0.75r+0.75b or i - a - b = 0c) the total cost is (at most) $45; so 6.5i + 4.5r + 5.5b = 45you can then plug these three formulae into a matrix and use row reduction to determine the answer[0.75 0.75 0.75 6 ][1 -1 -1 0 ][6.5 4.5 5.5 45 ]
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