Question

A type of fish for your aquarium costs ​$7 each. You can spend ​at most $56. How many of these fish can you​ buy? Write an inequality to model the problem. Then solve the inequality to find the number of fish.Over the next 13 months you have to read more than 65 books. You have to read x books per month. The inequality 13x>68represents this situation. Solve the inequality to find the number of books you have to read per month.

Answer 1

x <= 8 ... you can buy a max of 8 fishes

6 books or more per month.

Explanation:

Given the information provided, we can create the following inequality which multiplies the cost per fish ($7) by the number of fish we can buy (x) and it has to be less than or equal to $56

7x <= 56

We can now solve this inequality by isolating x

7x <= 56 ... divide 7 on both sides

x <= 8 ... you can buy a max of 8 fishes

-----------------------------------------------------------------------------------------------------------------

13x > 68 ... divide both sides by 13

x > 5.23

Since the number of books needs to be a whole number then we round this decimal up to 6. Meaning that you must read 6 books or more per month.