Kenisha sells athletic shoes part-time 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

1. 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 !

posted by Joe

## Similar Questions

1. ### math

Kenisha sells athletic shoes part-time 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
2. ### 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 part-time at a department store. She can earn either \$500 per month plus a 4% commission on her total
3. ### math

Kenisha sells athletic shoes part-time 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
4. ### 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
5. ### 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
6. ### math

Sams shoes makes a profit of 38\$ on every pair of athletic shoes it sells. How many pairs of shoes must Sam sell to earn a profit of 950?
7. ### Math

I need help please. The usual markup on shoes at Fast Times Department Store is 240%. During a 25%-off sale, the store sold a pair of shoes for \$39.95. Estimate the amount of the store's profit on the shoes.
8. ### math

Zach works at the local sports store.  He is paid 3% commission for every snowboard that he sells.  If he sells snowboards worth \$3850 during the month, what will he earn in commission for the month?
9. ### Math

Suzie’s Silk Scarves is a start-up that sells high quality scarves out of a boutique store. The monthly rent of the store is \$1,500 and Suzie has one manager who runs the store and earns \$3,000 per month. She leases out a
10. ### Algebra

A sports memorabilia store makes \$6 profit on each football it sells and \$5.50 profit on each baseball it sells. In a typical month, it sells between 35 and 45 footballs and between 40 and 55 baseballs. The store has no more than

More Similar Questions