Sharon works at job A and job B for 18 and 17 hours respectively.
SOLUTION:
Given, Sharon is working her way through school.
She works two part-time jobs for a total of 35 hours a week.
Job A pays $6.10 per hour, and Job B pays $7.40 per hour.
We have to find how many hours did she work at each job the week that she made $235.60.
Now, let the number of hours worked at A be "t", then number of hours worked at B will be 35 – t hours.
Now, according to the given information,
6.1 x t + 7.4 x (35 – t) = 235.6
6.1t + 35 x 7.4 – 7.4t = 235.6
7.4t – 6.1t = 259 – 235.6
1.3t = 23.4
t = 18
So, she works 18 hours at A, then, she works 35 – 18 = 17 hours at B.
Hence, Sharon works at job A and job B for 18 and 17 hours respectively.