kyle just started a new job that pays $7 per hour. He had been making $5 per hour at his old job. Kyle worked a total of 54 hours last month and made $388 before deductions. How many hours did he work at his new job?

Did he work at his old or new job last month?

To determine the number of hours Kyle worked at his new job, we can use algebra to solve for the unknown variable. Let's assume Kyle worked "x" hours at his new job.

We know that he made $7 per hour at his new job, so his total earnings from that job would be 7x dollars.

We also know that Kyle worked a total of 54 hours in total, combining both his old and new jobs.

Therefore, we can set up the following equation using the given information:

7x (earnings from new job) + 5(54 - x) (earnings from old job) = 388

Now, let's solve the equation:

7x + 270 - 5x = 388

Combining like terms:

2x + 270 = 388

Subtracting 270 from both sides of the equation:

2x = 118

Dividing both sides by 2:

x = 59

Therefore, Kyle worked 59 hours at his new job.