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Write an equation to solve for the unknown value.
Equation: 23=2w+6
Solution: $8.50
In this exercise, the hourly pay at a new job relates to the hourly pay at an internship. The new pay is given, and we need to use it to determine the amount of money earned per hour at the internship. We can rewrite the given information as algebraic expressions to create an equation for the internship wage.
| Given Information | Algebraic Expression |
|---|---|
| hourly pay of the internship | w |
| twice the hourly pay of the internship | 2w |
| A student's pay of $23 an hour at a new job is $6 more than twice the hourly pay of the internship | 23= 2w+ 6 |
Now that we have the equation, we can solve it for w, the hourly pay of the internship.
LHS-6=RHS-6
Subtract terms
.LHS /2.=.RHS /2.
Calculate quotient
Rearrange equation
Therefore, the student earned $8.50 per hour at their internship.