Alex works as an office clerk and his office job pays him $11 per hour. Monica works as a cashier and her job pays her $12.75 per hour. Together, they worked 45 hours and earned a total of $530.

How many hours did Monica work in her job?

A.

20

B.

25

C.

30

D.

35

Question

Mathematics

Regan

3 December, 22:05

Alex works as an office clerk and his office job pays him $11 per hour. Monica works as a cashier and her job pays her $12.75 per hour. Together, they worked 45 hours and earned a total of $530.

How many hours did Monica work in her job?

A.

20

B.

25

C.

30

D.

35

+4

Answers (1)

Know the Answer?

Archer · Answer 1

Alex_Hours + Monica_Hours = 45

Alex_Hours * 11 + Monica_Hours * 12.75 = 530

From the first equation:

Alex_Hours = 45 - Monica_Hours

Substituting into the section equation gives:

(45 - Monica_Hours) * 11 + Monica_Hours * 12.75 = 530

495 - Monica_Hours * 11 + Monica_Hours * 12.75 = 530

Monica_Hours * 12.75 - Monica_Hours * 11 = 530 - 495 = 35

Monica_Hours * (12.75 - 11) = 35

Monica_Hours * 1.75 = 35

Monica_Hours = 35 / 1.75 = 35 / (7 / 4) = 35 * 4 / 7 = 5 * 4 = 20

Monica worked 20 hours - - Answer A.

Alex works as an office clerk and his office job pays him $11 per hour. Monica works as a cashier and her job pays her $12.75 per hour. Together, they worked 45 hours and earned a total of $530.How many hours did Monica work in her job?A.20B.25C.30D.35

Alex works as an office clerk and his office job pays him $11 per hour. Monica works as a cashier and her job pays her $12.75 per hour. Together, they worked 45 hours and earned a total of $530.

How many hours did Monica work in her job?

A.

20

B.

25

C.

30

D.

35