Question

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.?

Answer 1

300 lbs

Explanation:

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

Now we have total pounds
`= 100+x`

Value of the mixture
`= 100(4)+8x = 8x+400`

Since 7 per lb to be sold out we get

`(8x+400)/(100+x) =7\\8x+400 = 700+7x\\x=300`

300 lbs should be mixed