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.

Jose sold 17 phones and 25 accessories.

Let x represent the number of phone sold and y represent the number of accessory sold.

Jose made a total of $253 in commission, hence:

9x + 4y = 253   (1)

He sold 8 more accessories than phones, hence:

y = x + 8

-x + y = 8   (2)

Solving equations 1 and 2 simultaneously gives:

x = 17, y = 25

Therefore Jose sold 17 phones and 25 accessories.

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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.

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x