SOLUTION: 1. A 50 gallon barrel of milk is 4% butterfat. How much skim milk must be added to make a milk that is 1% butterfat? a. Fifty gallons represents the amount of 4% butterfat milk.

Question 154254: 1. A 50 gallon barrel of milk is 4% butterfat. How much skim milk must be added to make a milk that is 1% butterfat?
a. Fifty gallons represents the amount of 4% butterfat milk. Choose a variable to represent the skimmed milk. Choose an expression to represent the final mixture.
b. Write the equation. This involves the amount of mixture times the percent of butterfat.
c. Solve the equation.

2.A candy store mixes plain and peanut m&ms. The plain cost $2.50 per pound and the peanut cost $3.00 per pound. How many of each should they mix to make a 5 pound mixture that they can sell for $2.70 per pound.
a. Choose a variable to represent the plain m&ms and an expression to represent the peanut m&ms.
b. Write the equation.
c. Solve the equation.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. A 50 gallon barrel of milk is 4% butterfat. How much skim milk must be added to make a milk that is 1% butterfat?
1. A 50 gallon barrel of milk is 4% butterfat. How much skim milk must be added to make a milk that is 1% butterfat?
a. Fifty gallons represents the amount of 4% butterfat milk. Choose a variable to represent the skimmed milk.
Ans: 0*x gallons
-------------------------
Choose an expression to represent the final mixture.
Ans: 0.01(50+x)
---------------------
b. Write the equation. This involves the amount of mixture times the percent of butterfat.
butterfat equation: 0.04*50 + 0*x = 0.01(50+x)
-----------------------
c. Solve the equation.
2 + 0 = (1/2) = 0.01x
(3/2) = 0.01x
x = 75 gallons
--------------------------------
2.A candy store mixes plain and peanut m&ms. The plain cost $2.50 per pound and the peanut cost $3.00 per pound. How many of each should they mix to make a 5 pound mixture that they can sell for $2.70 per pound.
a. Choose a variable to represent the plain m&ms and an expression to represent the peanut m&ms.
Ans: Amt. of plain = x ; Amt of peanuts = (5-x)
----------------------
b. Write the equation.
Value Equation: 2.5x + 3(5-x) = 2.7*5
----------------------
c. Solve the equation.
2.5x + 15 - 3x = 13.5
-(1/2)x = -1.5
x = 3 lbs. of plain in the mix
5-x = 2 lbs. of peanuts in the mix
=====================================
Cheers,
Stan H.

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