Question

How many items must she sell to break even?

Enter the correct answer.
DO
20
DONE
Clear all
DOO
?
Pilar is starting a small business that
makes specialized stationery. She finds
that producing larger quantities of a
design saves her money. Each print run
costs $50 plus $2 for each item. If y
dollars is the cost and x is the number of
items, this statement can be represented
by y = 2x + 50. She can sell each item for
$4.50. So her revenue, y, is equal to 4.5
times the number of items: y = 4.5x. The
solution of this system of equations is
her break-even point.

Answer 1

20

Explanation:

We have two simultaneous equations.

(1) y = 2x + 50

(2) y = 4.5x

1. Subtract (1) from (2)

0 = 2.5x - 50

2. Add 50 to each side

2.5x = 50

3. Divide each side by 2.5

x = 20

Pilar must sell 20 items to break even.