Becky a saleswoman,is offered two salary plans. Plan 1 is $450 per week salary plus a 3% commission of sales. Plan 2 in a $300 per week salary plus a 16% commission of sales.How much would Becky need to make in sales for the salary to be the same from both plans?
To find out how much Becky would need to make in sales for the salary to be the same from both plans, we need to set up an equation.
Let's assume the sales amount Becky needs to make for the two plans to have the same salary is 'x' dollars.
Under Plan 1, Becky would earn a $450 weekly salary plus a 3% commission on sales. So, the total salary under Plan 1 would be:
Salary under Plan 1 = $450 + 0.03x
Under Plan 2, Becky would earn a $300 weekly salary plus a 16% commission on sales. So, the total salary under Plan 2 would be:
Salary under Plan 2 = $300 + 0.16x
Now, we can set up the equation and solve for 'x':
$450 + 0.03x = $300 + 0.16x
To isolate the variable 'x', we can subtract 0.03x from both sides:
$450 = $300 + 0.16x - 0.03x
Simplifying:
$150 = 0.13x
Finally, divide both sides by 0.13 to solve for 'x':
x = $150 / 0.13
x ≈ $1153.85
Therefore, Becky would need to make approximately $1153.85 in sales for the salary to be the same from both plans.