A grocer wants to mix two kinds of candy one kind sells for 1.15 per pound and the other sells for 2.75 per pound he wants to mix a total of 24 pounds and sell it for 1.30$ per pound how many pounds of each kind should he use In the new mix
Let's assume the grocer uses x pounds of candy that sells for $1.15 per pound, and (24 - x) pounds of candy that sells for $2.75 per pound.
The total cost of the candy that sells for $1.15 per pound is 1.15x.
The total cost of the candy that sells for $2.75 per pound is 2.75(24 - x).
The total cost of the new mix is $1.30 per pound multiplied by 24 pounds, which is 1.30 * 24 = $<<1.3*24=31.20>>31.20.
Given that the total cost of the new mix is the sum of the cost of the two types of candy, we can set up the equation:
1.15x + 2.75(24 - x) = 31.20
Expanding the equation:
1.15x + 66 - 2.75x = 31.2
Combining like terms:
-1.6x + 66 = 31.2
Subtracting 66 from both sides:
-1.6x = -34.8
Dividing both sides by -1.6:
x = 21.75
Thus, the grocer should use 21.75 pounds of candy that sells for $1.15 per pound, and the remaining 24 - 21.75 = <<24-21.75=2.25>>2.25 pounds of candy that sells for $2.75 per pound.