Question

Ethan has started a part-time business making and selling bird feeders. His supplies cost him $75. If he makes a profit of $6 on each bird feeder, how many must Ethan sell to make a total profit of more than $135? Write an inequality to model this situation and solve the inequality.

Answer 1

6y - 75 > 135

y > 35

Explanation:

Given parameters:

Cost price of supplies = $75

Profit per bird feeder = $6

Expected profit > $135

Unknown:

An inequality that models the total number of feeders Ethan must sell to have the expected profit = ?

Solution:

Let the number of feeders must sell = y

Profit = Selling price - Cost price

Selling price = profit per bird feeder x number of feeders = 6y

Now;

6y - 75 > 135 is the inequality

We must no solve this;

6y - 75 > 135;

adding 75 to both sides;

6y - 75 + 75 > 135 + 75

6y > 210

Divide 6 into both sides;

y > 35

So, Ethan must sell more than 35 feeds to make a profit of more than $135