Lizzy is working two jobs to make money for a new car. She works 15 hours a week and earns 93$. She makes 5$ for each hour she babysits and 8$ for each hour she helps at her parents store. Determine the number of hours she babysits and the number of hours she works at her parents store.
Accepted Solution
A:
She worked 9 hours at baby-sitting and 6 hours at her parents store. Step-by-step explanation:Let, Baby-sitting hours = xHours at parents store = yTotal hours = 15Amount earned = $93According to given statement; x+y=15 Eqn 15x+8y=93 Eqn 2Multiplying Eqn 1 by 5;[tex]5(x+y=15)\\5x+5y=75\ \ \ Eqn 3\\[/tex]Subtracting Eqn 3 from Eqn 2;[tex](5x+8y)-(5x+5y)=93-75\\5x+8y-5x-5y=18\\3y=18[/tex]Dividing both sides by 3;[tex]\frac{3y}{3}=\frac{18}{3}\\y=6[/tex]Putting y=6 in Eqn 1[tex]x+6=15\\x=15-6\\x=9[/tex]She worked 9 hours at baby-sitting and 6 hours at her parents store. Keywords: linear equations, subtractionLearn more about linear equations at:brainly.com/question/10699220brainly.com/question/10703930#LearnwithBrainly