Kyle started a new job part of the way through last month that pays $7 per hour. he began the month making $5 per hour at his old job. kyle worked a total of 54 hours last month and made $338 before deduction. how many hours did he work at his new job

Let's call

x = number of hours worked by Kyle in his old job.

y = number of hours worked by Kyle in his new job.

Writing the system of equations:

x + y = 54

5x + 7y = 338

Solving the system of equations:

5 (54-y) + 7y = 338

270-5y + 7y = 338

2y = 338-270

y = 68/2 = 34

Therefore, Kyle worked 34 hours in his new job.