Question

Marcus's hourly wages can be represented by the expression 7.50h + 12. Sabrina's hourly wages can be represented by the expression 3(2.50h + 6). How many hours will Marcus and Sabrina have to work in order to make the SAME amount of earnings?

Answer 1

To find the number of hours Marcus and Sabrina have to work in order to make the same amount of earnings, we need to set their earnings expressions equal to each other and solve for h. However, in this case, there is no solution where Marcus and Sabrina make the same amount of earnings.

Step-by-step explanation:

To find the number of hours Marcus and Sabrina have to work in order to make the same amount of earnings, we need to set their earnings expressions equal to each other and solve for h. The expression for Marcus's earnings is 7.50h + 12 and the expression for Sabrina's earnings is 3(2.50h + 6). First, we'll simplify Sabrina's expression:

3(2.50h + 6) = 7.50h + 18. Now we can set the expressions equal to each other:

7.50h + 12 = 7.50h + 18.

Subtracting 7.50h from both sides:

12 = 18.

Since 12 is not equal to 18, there is no solution where Marcus and Sabrina make the same amount of earnings. Therefore, Marcus and Sabrina cannot make the same amount of earnings.