Question

score: 3/10 penalty: none question indigo works as a salesperson at an electronics store and sells phones and phone accessories. indigo earns a $8 commission for every phone she sells and a $4 commission for every accessory she sells. on a given day, indigo made a total of $160 in commission from all accessory and phone sales and she sold 3 times as many accessories as phones. determine the number of phones sold and the number of accessories sold. answer attempt 1 out of 2 there were phones sold and accessories sold.

Explanation:

Step1: Define variables

Let $x$ be the number of phones sold. Then the number of accessories sold is $3x$.

Step2: Set up an equation for total commission

The commission from phone - sales is $8x$ (since $8$ dollars commission per phone) and the commission from accessory - sales is $4\times(3x)$ (since $4$ dollars commission per accessory and $3x$ accessories). The total commission is $160$ dollars. So the equation is $8x + 4\times(3x)=160$.

Step3: Simplify the equation

First, simplify the left - hand side of the equation: $8x+12x = 160$. Combining like terms gives $20x = 160$.

Step4: Solve for $x$

Divide both sides of the equation $20x = 160$ by $20$: $x=\frac{160}{20}=8$.

Step5: Find the number of accessories sold

Since the number of accessories sold is $3x$, substitute $x = 8$ into $3x$. So the number of accessories sold is $3\times8 = 24$.

Answer:

There were 8 phones sold and 24 accessories sold.