Hi Jade,

I'll help you with the set up of the equation, and let's see if you can do the solving:

Since we're talking about "breaking even" (meaning, the money Allison makes from selling the necklaces needs to equal the amount of money it cost to produce the necklaces), what we're looking for is an equation in which the profit from selling the necklaces equals or exceeds the cost to produce them, or:

I'll help you with the set up of the equation, and let's see if you can do the solving:

Since we're talking about "breaking even" (meaning, the money Allison makes from selling the necklaces needs to equal the amount of money it cost to produce the necklaces), what we're looking for is an equation in which the profit from selling the necklaces equals or exceeds the cost to produce them, or:

**COSTS=PROFITS**So, what are the costs?

The costs are $95 for equipment + $5 for however many necklaces she produces (that's the number we don't know, or our variable, let's say x).

So, so far, on the costs side of the equation, we have:

**COSTS = 95+5x**

Now, what are the profits?

The profits will be $13 for however many necklaces she produces (the same number we don't that know, or our same variable, x).

**PROFITS = 13x**

So since our costs have to equal our profits (COSTS=PROFITS), our equation is:

**95+5x=13x**

Now, all you have to do is solve for x. But remember that you can't sell a fraction of a necklace in the real world. So while your answer may be a decimal, I assume that your "real-world" answer would need to be a whole number.

Now, I'm not a math tutor, and it's been a while since I've had to solve for x, so others may feel free to chime in and correct me if necessary. :)

Hope this helps!

Laila