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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.

Respuesta :

absor201

She worked 9 hours at baby-sitting and 6 hours at her parents store.

Step-by-step explanation:

Let,

Baby-sitting hours = x

Hours at parents store = y

Total hours = 15

Amount earned = $93

According to given statement;

x+y=15   Eqn 1

5x+8y=93   Eqn 2

Multiplying 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, subtraction

Learn more about linear equations at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

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