Mackenzie works as a salesperson at an electronics store and sells phones and phone accessories. Mackenzie earns a $10 commission for every phone she sells and a $4 commission for every accessory she sells. On a given day, Mackenzie made a total of $126 in commission and sold 7 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.

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Answer:

Let p= the number of phones sold

Let a= the number of accessories sold

Step-by-step explanation:

10p+4a=126

a=p+7

The system of equation should be 10p+4a=126 and a=p+7

Given that,

  • Mackenzie earns a $10 commission for every phone she sells and a $4 commission for every accessory she sells.
  • On a given day, Mackenzie made a total of $126 in commission and sold 7 more accessories than phones.

Based on the above information, the equation is as follows:

Here we assume  p= the number of phones sold

And,  a= the number of accessories sold

So, the equations are 10p+4a=126 and a=p+7

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