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How many pounds of candy worth $8 per lb. should be mixed with 100 lb. of candy worth $4 per lb. to get a mixture that can be sold for $7 per lb.?

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Answer:

300 lbs

Step-by-step explanation:

Let x be the number of pounds of candy worth $8 per lb mixed

Now we have total pounds [tex]= 100+x[/tex]

Value of the mixture [tex]= 100(4)+8x = 8x+400[/tex]

Since 7 per lb to be sold out we get

[tex]\frac{8x+400}{100+x} =7\\8x+400 = 700+7x\\x=300[/tex]

300 lbs should be mixed

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