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AnnZ [28]
4 years ago
11

Madison works as a salesperson at an electronics store and sells phones and phone accessories, and makes a fixed commission for

each phone sale and a different fixed commission for each accessory sale. Yesterday Madison sold 8 phones and 10 accessories and made a total commission of $107. Today she sold 4 phones and 23 accessories and made a total commission of $116.50. Determine the price of each phone and the price of each accessory.
Mathematics
1 answer:
Jet001 [13]4 years ago
4 0

Answer:

Price of each phone: \$9

Price of each accessory: \$3.5

Step-by-step explanation:

Let be "p" the  price in dollars of each phone and "a" the price in dollars of each accessory.

Set up a system of equations:

\left \{ {{8p+10a=107} \atop {4p+23a=116.50}} \right.

You can use the Elimination Method to solve the system.

Multiply the second equation by -2 and add both equations:

\left \{ {{8p+10a=107} \atop {-8p-46a=-233}} \right.\\............................\\-36a=-126\\\\a=\frac{-126}{-36}\\\\a=3.5

Substitute the value of "a" into the first equation and solve for "p":

8p+10(3.5)=107\\\\8p=107-35\\\\p=\frac{72}{8}\\\\p=9

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