Question

Petco makes a profit of $9 per bag on its line of natural cat food. If the store wants to make a profit of at least

$6900, how many bags of cat food does it need to sell? Write your answer as a complete sentence with units.
Write an inequality and show all work.

Answer 1

x ≥ 767

The number of bags sold must be greater than or equal to 767 to make a minimum profit of $6900.

Explanation:

If they want a profit of at least $6900, then the total amount earned would have to be ≥ 6900. You can always earn more than $6900, but the lowest should be equal to $6900.

So if we use x as the number of bags sold, and we know that each bag will earn $9, then x • 9 ≥ 6900.

If we divide both sides by 9, then the number of bags sold must be ≥ 767.