Answer:
[tex]r\leq 10.8[/tex]
OR
[tex]r\leq 10[/tex]
Step-by-step explanation:
Given that:
Amount of water in the aquarium = 9 gallons
Weight of water in the aquarium = 85 pounds
Total weight that aquarium can hold = 112 pounds
Weight of each rock = 2.5 pounds
To find:
The inequality to find the number of rocks, [tex]r[/tex] that can put in her tank.
Solution:
First of all, let us find more weight that the aquarium can hold after putting the water in the aquarium.
Additional weight that can be put in the aquarium = Total weight - Weight of water = 112 - 85 = 27 pounds
This 27 pounds can be of rocks.
Let the number of rocks that can be put in the aquarium = [tex]r[/tex]
Total weight of [tex]r[/tex] number of rocks = Weight of one rock multiplied by [tex]r[/tex]=2.5[tex]r[/tex]
Now, this weight of rocks must be lesser than or equal to 27 pounds.
Therefore, the in equality is:
[tex]2.5r\leq =27\\\Rightarrow r \leq 10.8\\OR\\\Rightarrow r \leq 10[/tex]
