Question 219017
Yuli sells quilts that she makes from her home. She sells each quilt for $500, but it costs her about $150 for the fabric, needles, and thread she uses for each. When she first decided to start her business, she needed to invest in $1050 in a good sewing machine. How many quilts will she need to make in order for her to break even? How much money will she have spent by then?
:
1.list variables shown
Let n = number of quilts 
Let C = cost
Let R = Revenue received
:
2.system of equations you used to solve
C = 150n + 1050
R = 500n
:
To break even, R = C, therefore
500n = 150n + 1050
500n - 150n = 1050
350n = 1050
n = {{{1050/350}}}
n = 3 quilts have to be sold to break even
:
How much money will she have spent by then?
Using the cost equation, n=3
C = 3(150) + 1050
C = 450 + 1050
C = $1500