SOLUTION: How many pounds of candy worth $8 per pound must be mixed with 4lbs of candy worth $10.50 per pound to create a mixture that costs $9 per pound?

Question 375838: How many pounds of candy worth $8 per pound must be mixed with 4lbs of candy worth $10.50 per pound to create a mixture that costs $9 per pound?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi

Let x represent the pounds of $8 per pound candy

Mixing the candy to create a mixture that cost 9$ per pound

8x + 10.50*4lb = 9*(x + 4lb)

solving for x

8x + 10.50*4lb = 9*x + 9*4lb

1.50*4lb = x

6lb = x, the amount of the pounds of $8 per pound candy

CHECKING our Answer

$8/lb*6lb + $10.50/lb*4lb = $48 + $42 = $90 = 9/lb*10lb 

RELATED QUESTIONS

how many pounds of candy that sells for $8 per pound must be mixed with 4lbs or candy... (answered by jorel1380)
How many pounds of candy worth 50 cents a pound must be mixed with how many pounds of... (answered by josmiceli)
candy worth $5 per pound is to be mixed with candy worth $10 per pound to get 200 pounds... (answered by TimothyLamb)
A candy store owner wishes to mix 30 pounds of candy worth $12 per pound with candy worth  (answered by TimothyLamb)
Candy worth $2.55 per pound is mixed with candy worth $2.40 per pound. How much of each... (answered by mananth)
how many pounds of candy worth $0.90 per pound must be added tp 10 pounds of candy worth... (answered by jorel1380)
Candy worth $2.45 per pound is mixed with candy worth $2.30 per pound. How much of each... (answered by checkley77)
Making snacks with candy and cereal,how many pounds of candy at $6  per pound would be... (answered by josmiceli)

To make a 10 pound mix of candy and peanuts worth $3.50 a pound, how many pounds of... (answered by checkley79)