Question

Jose works as a salesperson at an electronics store and sells phones and phone accessories. Jose earns a $9 commission for every phone he sells and a $4 commission for every accessory he sells. On a given day, Jose made a total of $253 in commission and sold 8 more accessories than phones. 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

Answer:

Let p be the number of phones sold and a be the number of accessory sold.

9p + 4a = 253

a - p = 8

Step-by-step explanation:

He gets $9 for every phone and $4 for every accessory, so you can write this as

9p + 4a

Then he made a total of $253 do the new equation is

9p + 4a = 253

We are also given that he sold 8 more accessories than phones. So we can write this as

a = p + 8

rearrange that so that all the variables are to one side.

a - p = 8

Now you have the two equations needed to solve the for the variable. The question didn't ask me to solve for the variable so I'll leave it here.

Answer 2

Answer:

Step-by-step explanation:

Let x represent the number of phones sold.

Let y represent the number of accessories sold.

Jose earns a $9 commission for every phone he sells. This means that the total commission earned for selling x phones would be

$9x

He also earns a $4 commission for every accessory he sells. This means that the total commission earned for selling y accessories would be

$4y

On a given day, Jose made a total of $253 in commission and sold 8 more accessories than phones. The equation would be

9x + 4y = 253 - - - - - - - - -1

Since he sold 8 more accessories than phones, it means that

x = y - 8 - - - - - - - - - - - -2

Therefore, equations 1 and 2 can be used to determine the number of phones sold and the number of accessories sold.