how much candy that is worth $5 per pound must be mixed with 60 lb that is worth 4$ per pound to get a special Christmas mixture to sell for $4.40 per pound?
amount of the $5 candy ------ x pounds
5x + 4(60) = 4.4(x+60)
solve for x and your Christmas wishes are fulfilled.
To find out how much candy worth $5 per pound must be mixed with 60 lb worth $4 per pound to get a special Christmas mixture worth $4.40 per pound, you can set up an equation.
Let's assume the amount of candy worth $5 per pound that needs to be mixed is 'x' pounds.
The cost of the candy worth $5 per pound would then be 5x dollars.
Now, let's set up the equation based on the cost of the candies and their weights:
Cost of the $5 per pound candy + Cost of the $4 per pound candy = Cost of the $4.40 per pound mixture
5x + 4(60) = 4.40(60 + x)
Now, let's solve this equation to find the value of 'x', which represents the amount of $5 per pound candy needed.
5x + 240 = 264 + 4.4x
0.6x = 24
x = 40
So, you would need 40 pounds of candy worth $5 per pound mixed with the 60 pounds of candy worth $4 per pound to get a special Christmas mixture worth $4.40 per pound.