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?
PLEASE HELP ME SET THIS UP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Plan1=450+.03Sales
Plan2=300+.16Sales
set them both equal, solve for sales.
To determine how much Becky would need to make in sales for the salary to be the same from both plans, we can set up an equation and solve for the sales amount.
Let's assume that Becky makes sales worth "x" dollars.
Under Plan 1, Becky's salary would be $450 per week plus a 3% commission of sales. So, the total earnings under Plan 1 can be calculated as follows:
Earnings under Plan 1 = $450 + (3% of x)
Similarly, under Plan 2, Becky's salary would be $300 per week plus a 16% commission of sales. So, the total earnings under Plan 2 can be calculated as follows:
Earnings under Plan 2 = $300 + (16% of x)
To find the sales amount at which the salaries from both plans are the same, we set the two earnings equations equal to each other and solve for 'x':
$450 + (3% of x) = $300 + (16% of x)
To simplify the equation, convert the percentages to decimal form:
$450 + 0.03x = $300 + 0.16x
Rearrange the equation by isolating 'x' terms on one side and constants on the other:
0.16x - 0.03x = $450 - $300
Combine like terms:
0.13x = $150
Now, solve for 'x' by dividing both sides of the equation by 0.13:
x = $150 / 0.13
Calculating the value of 'x', we find:
x ≈ $1,153.85
Therefore, Becky would need to make approximately $1,153.85 in sales for the salary to be the same under both plans.