Simultaneous Equation Word Problem Example 1

Problem #60 p.498 of A Graphical Approach to College Algebra by Hornsby and Lial

Jose Ortega is a building contractor. If he hires 8 bricklayers and 2 roofers , his daily payroll is \$960 , while 10 bricklayers and 5 roofers require a daily payroll of \$1500 What is the daily wage of a bricklayer and the daily wage of a roofer?

 Step 1 of the solution These problems are slightly different from previous ones in that the x variable and y variable count very similar things and are not related by cause and effect. A cause and effect relationship does exist between the counts of the two broadest categories of things mentioned in this problem. Both x and y are conversion factors (slopes) in the relationship between the two types of counting. Eventually, we will be separating the x related values into one row of the "rate" table and the y related values into another. However, we will begin by looking for the two broadest categories of things that are being counted in this problem. Can you see two different types of counts in the problem above? After you find two different types of counts above, click on the button to the left to see if you were correct.