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?

Dorinda worked at Job A for 11 hours

Step-by-step 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=301

7.5x+8y=234.502

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=2401

- 7.5x+8y=234.502

=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

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3