At Gulfport Electronics, Randy earns a monthly salary of $1500 plus a 5% commission of x, his total monthly sales. If his March earnings total $2500, write and solve an equation that could be used to determine his total monthly sales for the month of March

Respuesta :

Answer:

His March Earnings is $20000

Step-by-step explanation:

Given

[tex]Salary = \$1500[/tex]

[tex]Commission = 5\%\ of\ sales[/tex]

[tex]March\ Earnings = \$2500[/tex]

Required

Determine the monthly sales

Represent the monthly sales with x

The march earnings can be determined using:

[tex]March\ Earnings = Salary + Commission[/tex]

[tex]March\ Earnings = Salary + 5\%\ of\ x[/tex]

Substitute values of March Earnings and Salary

[tex]2500 = 1500 + 5\% * x[/tex]

[tex]2500 = 1500 + 0.05 * x[/tex]

[tex]2500 = 1500 + 0.05x[/tex]

Solve for 0.05x

[tex]0.05x = 2500 - 1500[/tex]

[tex]0.05x = 1000[/tex]

Solve for x

[tex]x = 1000/0.05[/tex]

[tex]x = 20000[/tex]

Hence:

His March Earnings is $20000