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September 16th, 2009, 04:52 PM   #1
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300 grams of type A Raisin Bran is mixed with 500 grams of type B Raisin Bran to produce a mixture which is 11% raisins. Type A Raisin Bran has twice as many raisins per kilogram as type B. What percentage of raisins are in each type of raisin bran?

I dont know how to figure out the equations. Any help would be great. Thanks
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September 16th, 2009, 08:16 PM   #2
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Let x be the percentage of raisins in Type A and let y be the percentage of raisins in Type B.

300(x/100) + 500(y/100) = 800(11/100) ? 3x + 5y = 88 and, since Type A has twice as many raisins as Type B, x - 2y = 0.
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September 16th, 2009, 08:22 PM   #3
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Let type B Raisin Bran have x grams of raisins per kilogram, so in 500 grams of it there are x/2 grams of raisins. Now calculate the raisin content for 300 grams of Type A Raisin Bran, etc.
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