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 b

Question

3 years ago

8

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 b

abysits 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.

Mathematics

1 answer:

kirill115 [55] · Answer 1 · 2022-07-03T14:35:39+03:00

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;

$5(x+y=15)\\5x+5y=75\ \ \ Eqn 3\\$

Subtracting Eqn 3 from Eqn 2;

$(5x+8y)-(5x+5y)=93-75\\5x+8y-5x-5y=18\\3y=18$

Dividing both sides by 3;

$\frac{3y}{3}=\frac{18}{3}\\y=6$

Putting y=6 in Eqn 1

$x+6=15\\x=15-6\\x=9$

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

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly