Math Is Easy - Use Algebra To Solve Word Problem 3!Danny received a car repair bill for \$106. This included\$23 for parts, \$22 per hour for each hour of labor, and \$6 for taxes. Findthe number of hours of labor. (Note 1)Let h represent the number of hours of labor. Then 22hrepresents the total charges for labor. We can use a guideline of charge forparts plus charge for labor plus tax equals the total bill to set up thefollowing equation.23(parts) + 22h(labor) + 6(tax) = 106We can restate this as:23 + 22h + 6 = 106Solve this equation23 + 22h + 6 =10629 + 22h = 106 Add the common terms29 + 22h = 106 -29= -29Subtract 29 from each side 0 + 22h =77 22h =7722h/22 =77/22 Divide each side by 22h = 3.5 = 3 1 2Danny was charged for 3 1 hours of labor 2Now we substitute the solutionfor h into the original equation to see if it works.23 + 22h + 6 = 10623 + 22(3.5 ) + 6 = 10623 + 77 + 6 = 106106 = 106We must also see if the solution works in theoriginal problem statement.Danny received a car repair bill for \$106. This included\$23 for parts, \$22 per hour for each hour of labor, and \$6 for taxes.Danny received a car repair bill for \$106. This included\$23 for parts, \$22 per hour for each hour of labor (\$22 X 3.5), and \$6 fortaxes.Danny received a car repair bill for \$106. This included\$23 for parts, \$22 per hour for each hour of labor (\$77), and \$6 for taxes.106 = 23 + 77 + 6We have just solved a first degree equation.(Note1)The source for the problem statement is:Intermediate AlgebraFor College Students by Jerome E. Kaufman CloseWindow