Stuck with a current word problem Find how many quarts of 5% butterfat milk and 1% butterfat milk should be mixed to yield 100 quarts of 3% butterfat milk

50 quarts of 5% butterfat and 1% butterfat milk are to be mixed. SOLUTION: First, I will set up my table. I will fill in the unknowns with variables x and y. The table is attached belowFrom the table attached below, we can easily set up the two equations.  Sum of values of two milks = Value of mixture  0.05x + 0.01y = 3  For convenience, we'll multiply the entire equation by 100, 5 x + y = 300 ------> (1)  Now, Sum of amounts of each acid = Amount of mixture  x + y = 100 ---------> (2) Subtracting equation (2) from (1),  ( + ) 5 x + y = 300 ( − ) x -  y = 100 − − − − − − − − ( = ) 4x + 0y = 200  Thus, 4x = 200  x = 50Substituting x = 50 in (2), ( 50 ) + y = 100  y  = 100 – 50 = 50  hence, 50 quarts of 5% butterfat and 1% butterfat milk are to be mixed.