<PRE><B>Question 103607</B>
From experience, she knows that the mixture is perfect when the amount of honey-sweetened cereal is exactly 40% of the mix. Her husband, Chase, has just mixed together a 14 oz package of unsweetened cereal and a 32 oz package of sweetened cereal. how much more unsweetened cereal does Gigi need to mix in to make the mix 40% sweetened and 60% unsweetened? 
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Dear student, 
I made this problem unnecessarily complicated, think of it this way:
How much much unsweetened cereal will we have add to the original mixture to
get 40%?
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Original mixture amt: 14 + 32 = 46 oz
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We have to add the amt that will make 32 oz equal to 40% of the final mixture.
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Let x = amt of unsweetened cereal to be added
: 
32 = .40(46 + x)
:
32 = 18.4 + .4x
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32 - 18.4 = .4x
:
13.6 = .4x
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x = 13.6/.4
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x = 34 oz of unsweetened cereal required
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Check our solution:
Total amt after adding the unsweetened stuff: 34 + 46 = 80 oz
sweet cereal percentage: 32/80 = .4; which is 40% as required
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Did this make MORE sense to you now? </PRE>