Question

the owner of an aquatic store used 17 1/2 gallons of water to fill aquariums. he puts 5 5/6 gallons of water in each aquarium. how many aquariums. how many aquariums did he fill?

Answer 1

He fills 3 tanks. Hope this helps!

Answer 2

3 aquariums.

Explanation:

We have been given that the owner of an aquatic store used 17 1/2 gallons of water to fill aquariums. He puts 5 5/6 gallons of water in each aquarium.

To find the number of aquariums filled by the owner, we will divide total amount of water by amount needed to fill one aquarium.

`\text{Aquariums filled by the owner}=17(1)/(2)/ 5(5)/(6)`

Convert mixed fractions into improper fractions:

`17(1)/(2)\Rightarrow(17* 2+1)/(2)=(34+1)/(2)=(35)/(2)`

`5(5)/(6)\Rightarrow(5* 6+5)/(6)=(30+5)/(6)=(35)/(6)`

`\text{Aquariums filled by the owner}=(35)/(2)/ (35)/(6)`

Convert to multiplication problem by flipping second fraction:

`\text{Aquariums filled by the owner}=(35)/(2)* (6)/(35)`

`\text{Aquariums filled by the owner}=(6)/(2)`

`\text{Aquariums filled by the owner}=3`

Therefore, the owner filled 3 aquariums.