A store manager wants to determine how much to pay her employees. The number of hours the employees work is z. and the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation 10y 30x20. The business owner states that the employees should be paid a wage given by the equation 6y+30 60. If the two equations were added then simplified to determine hourly wage. y, how much would the employees be paid?

Question

A store manager wants to determine how much to pay her employees. The number of hours the employees work is z. and the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation 10y 30x20. The business owner states that the employees should be paid a wage given by the equation 6y+30 60. If the two equations were added then simplified to determine hourly wage. y, how much would the employees be paid?

Answer 1

First, let's add the two equations together:

10y + 30x20 = 6y + 30x60

Rewrite the equation:

10y + 600 = 6y + 1800

Subtract 6y from both sides:

4y + 600 = 1800

Subtract 600 from both sides:

4y = 1200

Divide by 4 on both sides:

y = 300

Therefore, the employees should be paid $300 per hour.