Milling Journal - Q4 2008 - (Page 30) Total dollars spent was $1307.50 which is the sum of the dollars spent for each meal type. • 25 + 40 +10 = 75 The total number of people attending and ordering meals was 75. $1307.50/75 = $17.43 The average cost per person is calculated by dividing the total dollars spent by the number of participants. Flour Blending Example Now let’s look at a flour blending problem. Suppose we want to blend 1M and 2M flour and calculate the combined ash content given the following information: • 1M Ash= 0.349%. • 1M Weight= 38.77 lbs. • 2M Ash= 0.323%. • 2M Weight= 18.43 lbs. Line up the given facts with the variables identified in the formula shown in Figure 1. • Q1=38.77 lbs. • A1= 0.349% • Q2=18.43 lbs. • A2=0.323% • Q1*A1= 38.77*0.349 = 13.531 • Q2*A2= 18.43*0.323 = 5.953 • Q= 18.43 + 38.77 = 57.2 12.5% protein? Identify Known and Unknowns • The mixture is 100%. • X = percent of wheat “A” in the mixture. • (100-X) = percent of Wheat “B” in the mixture. Develop an Equation Using the blending formula in Figure 1, complete the equation using the known information forming a single equation with one unknown. 100*12.5=14X + 9.5*(100-X) •AM = (QN*AN) / Q= [(13.531)+ (5.953)] /[57.2] = 0.341% Blending Proportion Example Here is a wheat blending problem for those of you working in the grain elevator and responsible for setting up mill mixes. What percent of Wheat “A” at 14% protein must be added to Wheat “B” @9.5% protein to obtain a mixture @ QM*AM=Q1*A1 +Q2*A2 Solve for X The following is a progression of algebraic steps to solve for “X”. For those familiar with algebra, you may combine steps to shorten the process. • 100*12.5=14X + 9.5*(100-X) • 100*12.5=14X + 9.5*100-9.5X 30 Fourth Quarter 2008 Response No. 301 MILLING JOURNAL http://www.eriez.com http://www.eriez.com
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