Question

Consider the following word problem:Eleanor is working her way through school. She works two part-time jobs for a total of 22 hours a week. Job A pays $6.40 per hour, and Job B pays $6.60 per hour.How many hours did she work at each job the week that she made $143.60.Step 1 of 2: Use the variables x and y to set up two equations to solve the given problem.

Answer 1

Let

x ------> number of hours Job A

y -----> number of hours Job B

we have that

x+y=22 ------> x=22-y ------> equation 1

6.40x+6.60y=143.60 ------> equation 2

Solve the system of equations

substitute equation 1 in equation 2

6.40(22-y)+6.60y=143.60

solve for y

140.8-6.40y+6.60y=143.60

0.20y=143.60-140.8

0.20y=2.8

y=14 hours

so

x=22-14=8

therefore

number of hours Job A was 8

and

number of hours Job B was 14