Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Chapter 4 Ratio & Proportion

Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Solving Applied Problems Involving Proportions 4.4

Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Problem Solving Steps 1.Understand the problem. a)Read the problem carefully. b)Draw a picture if this is helpful. c)Fill in the Mathematics Blueprint so that you have the facts and a method of proceeding in this situation. 2.Solve and state the answer. a)Perform the calculations. b)State the answer, including the unit of measure. 3.Check. a)Estimate the answer. b)Compare the exact answer with the estimate to see if your answer is reasonable.

Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Mathematics Blueprint Mathematics Blueprint for Problem Solving Key Points to Remember How Do I Proceed? What Am I Asked to Do? Gather the Facts The Mathematical Blueprint is simply a sheet of paper with four columns. Each column tells you something to do.

Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. One fraction represents the total innings and one represents the 9 innings. Mathematics Blueprint Example: A baseball pitcher gave up 52 earned runs in 260 innings of pitching. At this rate, how many runs would he give up in a 9-inning game? (This decimal is called the pitcher’s earned run average.) Mathematics Blueprint for Problem Solving Key Points to Remember How Do I Proceed? What Am I Asked to Do? Gather the Facts 52 runs were given up in 260 innings. Set up a proportion comparing runs to innings Find the number of runs in 9 innings. Example continues.

Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Mathematics Blueprint A baseball pitcher gave up 52 earned runs in 260 innings of pitching. At this rate, how many runs would he give up in a 9- inning game? (This decimal is called the pitcher’s earned run average.) The pitcher will give up 1.8 runs in a 9-inning game.

Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. One fraction represents the recommended paint and one represents the needed paint. Mathematics Blueprint Example: It is recommended that 2 gallons of paint are used for every 750 square feet of wall. A painter is going to paint 7875 square feet of wall with a paint that costs $8.50 per gallon. How much will the painter spend for paint? Mathematics Blueprint for Problem Solving Key Points to Remember How Do I Proceed? What Am I Asked to Do? Gather the Facts 2 gal per 750 sq. ft.; 7875 sq. ft. total to be painted; cost is 8.50 per gallon Set up a proportion comparing gals to sq. ft.; multiply the answer by $8.50. Find the total cost for the paint. Example continues.

Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Mathematics Blueprint It is recommended that 2 gallons of paint are used for every 750 square feet of wall. A painter is going to paint 7875 square feet of wall with a paint that costs $8.50 per gallon. How much will the painter spend for paint? The total cost for the paint is $ gallons of paint will be needed.