Question

Cameron works as a salesperson at an electronics store and sells phones and phone accessories. Cameron earns a $11 commission for every phone he sells and a $2.50 commission for every accessory he sells. On a given day, Cameron made a total of $361 in commission from selling a total of 56 phones and accessories. Determine the number of phones sold and the number of accessories sold.

Answer 1

Cameron sold 26 phones and 30 accessories.

Step-by-step explanation:

Given,

Commission on each phone = $11

Commission on each accessory = $2.50

Total commission made = $361

Number of items sold = 56

Let,

x be the number of phones sold

y be the number of accessories sold

According to given statement;

x+y=56         Eqn 1

11x+2.50y=361   Eqn 2

Multiplying Eqn 1 by 11

$11(x+y=56)\\11x+11y=616\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(11x+11y)-(11x+2.50y)=616-361\\11x+11y-11x-2.50y=255\\8.50y=255$

Dividing both sides by 8.50

$\frac{8.50y}{8.50}=\frac{255}{8.50}\\y=30$

Putting y=30 in Eqn 1

$x+30=56\\x=56-30\\x=26$

Cameron sold 26 phones and 30 accessories.

Keywords: linear equation, elimination method

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