Question

Joan is selling handmade bead necklaces

at a local art fair. She paid $230 to
reserve her booth. The cost of supplies
for each necklace averages $2. So, her
cost, y, for x necklaces is represented by
y = $230 + 2x. If she sells her necklaces
for $12, her revenue, y, is represented
by y = 12x.
The solution of this system is the break-
even point, the point beyond which she
starts making a profit.

Answer 1

After Joan sells 23 necklaces, she will start to make a profit.

Explanation:

y=230+2x

y=12x

substitute y in the first equation for 12x

12x=230+2x

subtract 2x from both sides

10x=230

divide 10 from both sides

x=23