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Kara earned $136.75 last week working 16 hours. She earned $10.50 per hour at the fast food restaurant and $4.25 per hour helping her aunt clean her store.
How many hours did she work at the fastest food restaurant? How many hours did she help her aunt clean the store? In your response make sure to:
Create a model that can be used to determine the number of hours Kara worked at each job.
Define your variables.
Show all your work.

Respuesta :

Answer:

First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x

10.50x + 4.25(16-x) =136.75

10.50x + 68 - 4.25x= 136.75

Then, you subtract 68 from both sides and subtract 4.25x from 10.50x

6.25x=68.75

Divide

X=11 that is how many hours she worked at the FAST FOOD RESTAURANT

Then 16-11 and that gives us how many hours she helped her aunt.

ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt

Step-by-step explanation:

adioabiola

Here, we are required to determine how many hours Kara worked at the fastest food restaurant and how many hours did she help her aunt clean the store.

  • The number of hours worked by Kara in the restaurant is; 11hours.

  • The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in her aunt's store is; 5hours.

First, we need to create a model for the work done and how much she earned.

  • Total earnings = $136.75

  • Total hours worked = 16 hours

  • Let hours worked at the restaurant = x

  • Let hours worked at the store = (16-x)

  • Hourly rate at restaurant = $10.50

  • Hourly rate at store = $4.25

The model is therefore in the form;

$10.50(x) + $4.25(16-x) = $136.75

To determine the no. of hours worked at the fast food restaurant, we have to evaluate the value of x.

Therefore;

  • 10.50x + 68 - 4.25x = 136.75

  • 6.25x = 68.75

x = 11

The number of hours worked by Kara in the restaurant is; 11hours.

The number of hours worked by Kara in her aunt's store is; (16 - 11) hours = 5hours.

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