Solve the problem below by writing and solving an equation containing one variable

Question

A telemarketer sold two vacation packages received received commission totaling $600. The commission on the first vacation package was one and one-half times the commission on the second vacation package.Determine the dollar amount of commission on each vacation package.

if c is The commission on the second vacation package, an equation the models the problem is:

1.5c + __ = __

The commission on the first vacation package was $__

The commission on the second vacation package was $__

Answer 1

A telemarketer sold two vacation packages received received commission totaling $600. The commission on the first vacation package was one and one-half times the commission on the second vacation package.Determine the dollar amount of commission on each vacation package.

if c is The commission on the second vacation package, an equation the models the problem is:

1.5c + ___ =. ___

1.5c + c = $600

2.5c = $600

2.5c/2.5 = $600/2.5

c = $600 / 2.5

c = $240

The commission on the second vacation package was $240.

The commission on the first vacation package was $600 - $240 = $360

or 1.5($240) = $360

The commission on the first vacation package was $360

The commission on the second vacation package was $240

Answer 2

First Commission Package = 360

Second Commission Package = 240

x = First CP

y = Second CP

Equations

1. x + y = 600
2. x - 1.5y = 0

Solve system of equations using any method. I used a 2x3 Matrix in my calculator and did the rref() function.

x = 360

y = 240