Janine worked 15 hours last weel. One job as a clerk in a sporting goods store pais her $8.47 per hour, while her jo giving piano lessons paid $17 per hour. If she earned $178.23 between the two jobs, how many hours did she work at each job?

Answer:She worked 9 hours on store and gave piano lessons for 6 hoursStep-by-step explanation:Let x be the no. of hours she worked on store Cost of 1 hour on shop = $8.47Cost of x hours on shop = $8.47xLet y be the no. of hours she gave piano lessonsCost of 1 hour for piano lessons = $17Cost of y hours on shop = $17yNow we are given that She worked for 15 hours So, [tex]x+y=15[/tex] ---1We are also given that she earned $178.23 between the two jobsSo, [tex]8.47x+17y=178.23[/tex] --2Plot equation 1 and 2 on graph Refer the attached figure [tex]x+y=15[/tex]  -- Blue line[tex]8.47x+17y=178.23[/tex] -- Green lineIntersection point gives the solution .Intersection point = (9,6)So, x = 9 and y = 6So, she worked 9 hours on store and gave piano lessons for 6 hours