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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:
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