Question

Levi works as a salesperson at an electronics store and sells phones and phone accessories. Levi earns a $8 commission for every phone he sells and a $3 commission for every accessory he sells. On a given day, Levi made a total of $213 in commission from selling a total of 41 phones and accessories. Write a system of equations that could be used to determine the number of phones sold and the number of accessories sold. Define the variables that you use to write the system.

Answer 1

8p + 3a = 213 and p + a = 41 are the two required equations which will give us the number of phones and accessories sold by Levi.

Solution:

Levi earns a $8 commission for every phone he sells and a $3 commission for every accessory he sells.

On a given day, Levi made a total of $213 in commission from selling a total of 41 phones and accessories.  

We have been asked to write a system of equations that could be used to determine the number of phones sold and the number of accessories sold. We also have to define the variables that you use to write the system.

Let us denote the number of phones as ‘p’ and number of accessories as ‘a’

So, we can write the following equations from the given data:

Given that levi made $ 213 commission

8p + 3a = 213

And,  Levi sold 41 phones and accessories. So we can frame a equation as follows:

p + a = 41

These two equations can be used and solved to determine the number of phones and accessories sold.