Please help turning a Algebra word sentence into a inequality

Question

A real estate company offered two plans to a new employee: Plan A is a salary of $2500 per month plus a 6% commission on sales. Plan B is a salary of $3000 per month plus a 4% commission on sales. For what amount of monthly sales is plan A better than plan B? Set up an inequality and show all work to solve the inequality.

Answer 1

Let x be # sales/month:

Plan A: $2500 + 6%•x

Plab B: $3000 + 4%•x

For Plan A to be better than Plan B: Plan A > Plan B

So inequality would be: $2500 + 6%•x > $3000 + 4%•x, then solve for x:

2%•x > $500 or x > $500/0.02

x > 25,000

Therefore, the # of sales/month (x) has to exceed 25,000 units for Plan A to be superior to Plan B.

Hope this helps,

Todd