College

Ella works two part-time jobs, one before school and one after school.

- Before school, she earns $11.25 per hour.
- After school, she earns $11.75 per hour.

Last week, she earned a total of $278. She works twice as many hours after school.

How many hours did she work at each job last week?

Answer :

Last week, Ella worked 16 hours after school and 8 hours before school using the concept of algebraic equations.

What is a mathematical equation?

The equality of two mathematical expressions is demonstrated by a mathematical statement called an equation.

Algebraic equations in mathematics frequently have one or more variables.

Given: Ella makes $11.25 per hour before school and $11.75 per hour after.

Total earnings of Ella from = $278

Let x be the number of hours Ella worked before school.

Let y be the number of hours Ella worked after school.

11.25x + 11.75y = 278

Given that she works twice as long after school, it follows that

y = 2x

Substituting in the equation, we get

11.25x + 11.75(2x) = 278

11.25x + 23.5x = 278

34.75x = 278

x = 8

Similarly, y= 2x

y = 16

Ella accordingly worked 16 hours after school and 8 hours before school.

To learn more about mathematical equations, visit:

https://brainly.com/question/971918

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