Miranda worked two part-time jobs last week. The first job paid $8 an hour, and the second job paid $11 an hour. She worked a total of 23 hours last week and earned $208.
How many hours did Miranda work at the first job?
Add up the wages:
8x + 11(23-x) = 208
To find the number of hours Miranda worked at the first job, we can set up a system of equations based on the given information.
Let's say Miranda worked x hours at the first job. Since she worked a total of 23 hours and we know x is the number of hours at the first job, she must have worked (23 - x) hours at the second job.
Now, we can set up the equation to represent the total amount of money Miranda earned:
($8 per hour) * (number of hours at the first job) + ($11 per hour) * (number of hours at the second job) = $208
Substituting the values in, we have:
(8x) + (11(23 - x)) = 208
Simplifying the equation, we get:
8x + 253 - 11x = 208
Combining like terms, we get:
3x + 253 = 208
Subtracting 253 from both sides of the equation, we get:
3x = 208 - 253
Simplifying further, we have:
3x = -45
Dividing both sides of the equation by 3, we find:
x = -15
Since the number of hours can't be negative, we realize there is an error in the equation.
In this case, it seems that there is insufficient information to solve the problem as given. It's possible that there was an error in the problem statement or that some information is missing.