8th grade math
posted by jessica
Kenisha sells athletic shoes parttime at a department store. She can either earn $500 per month plus a 4% commission on her total sales or $400 per month plus a 5% commission on total sales.
A)write a system of equations to represent the situation.
B)what is the total price of the athletic shoes kenisha needs to sell to earn te same income from each pay scale.
C)which is the better offer
and we're doing substitution so i need to know 2 equations with x and y variables in both

Joe
Hello
the 2 variables that u have to conider are the total sales that we will call x in our case, and Kenisha's income that we will call y
A) if we translate the first sentence to an equation, we understand that she earns a fixed amount + a percentage on the total sales, thus we get the following system:
y = 500 + 4*x/100 (1)
y = 400 + 5*x/100 (2)
(we divide by a hundred because it's a perCENTage)
B) earning the same income means the value of the variable y is the same for both equations. Therefore, we can write : y = y and get the following :
500 + 4*x/100 = 400 + 5*x/100
that gives us a value of x = 10 000
C) so if you think a little bit, she has to sell for 10 000 $ of shoes in order for both to be equal ! Since it's very risky and even impossible, let's pretend she did half of it and only sold for 5 000 $
We then replace the x by 5 000 and see which y value is the highest (means which income is the highest)
by replacing x by 5 000 u find that for the first equation , y = 700 $ and for the second y = 650 $
so the first solution (500$ + 4% of the sales) is the best solution since it provides a safer and higher income.
PS : i don't think the last question is very appropriate for 8th grade students but anyway here you go !
Respond to this Question
Similar Questions

math
Kenisha sells athletic shoes parttime at a department stoe. She can earn either $500 per month plus a 4% commission on her total sales, or $400 per month plus a 5% commission on total sales. Write a system of equations to represent … 
math
Kenisha sells athletic shoes parttime at a department store. She can earn either $500 per month plus a 4% commission on her total sales, or $400 per month plus a 5% commission on total sales. Write a system of equations to represent … 
geometry
Martha works as a salesperson for momentum sales. she earns $1,000 per month plus 15% commission on her sales. a. write an equation that expresses t, her income for one month as a function of x, her total sales for the month. b. River … 
Algebra I
Write a system of equations to solve Kay sells athletic shoes aat a store. She can either earn $500 per month plus 4% commission on her tial sales, or $400 per month plus a 5% commission on total sales. then B. What is the total price … 
Algebra I
Write a system of equations to solve Kay sells athletic shoes aat a store. She can either earn $500 per month plus 4% commission on her tial sales, or $400 per month plus a 5% commission on total sales. then B. What is the total price … 
Algebra
I just need some help finding the equations to this problem and i will know how to do the rest. Kenisha sells athletic shoes parttime at a department store. She can earn either $500 per month plus a 4% commission on her total sales, … 
Algebra
Ms. Jones has two job offers as a car salesperson. At one dealership, she will receive $600 per month plus a commission of 2% of the total price of the automobiles she sells. At the other dealership, she will receive $1000 per month … 
Math
An air conditioning salesperson receives a base salary of $2850 per month plus a commission. The commission is 2% of the sales up to and including $25,000 for the month and 5% of the sales over $25,000 for the month. a. Write a piecewise … 
Prealgebra
Mr.davis works for $2,400 per month plus a 10 percent commission on his total sales.He wants to earn at least $3,000 next month.what inequality can be used to determine the amount of sales,s,he needs to meet his goal? 
Prealgebra
Mr.davis works for $2,400 per month plus a 10 percent commission on his total sales.he wants to earn at least $3,000 next month. Which inequality can be used to determine the amount of sales,s,he needs to meet his goal?