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? 
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.