Question

Dorinda worked 2 part- time jobs and earned $234.50 for working a total of 30 hours at both jobs. She is paid $7.50 per hour at Job A and $8.00 per hour at Job B. How many hours did Dorinda work at Job A?

Answer 1

Dorinda worked at Job A for 11 hours

Explanation:

Step one

This is a word that leads to simultaneous.

Let us begin by modeling the system of equation from the problem

Let x and y be the number of hours worked in both jobs A and B respectively

Step two

x+y=30---------1

7.5x+8y=234.50----2

Solving the equations simultaneously we have

1. Multiplying equation 1 by 8 and equation 2 by 1 and subtracting from equation 2 to find y

8x+8y=240---------1

- 7.5x+8y=234.50----2

=0.5x=5.5

x=5.5/0.5

x= 11hrs

Substituting x=11 in equation 1 we can find y

11+y=30

y= 30-11

y= 19hrs