Answer:
[tex]7\frac{1}{2}[/tex] hours will it take to fill 4 aquarium
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity 1, such as 3 feet per second or 6 miles per hour, they are called unit rate
As per the statement: Terrence was filling the new fish aquariums where he works. He was able to fill [tex]1\frac{1}{3}=\frac{4}{3}[/tex]aquariums in [tex]2\frac{1}{2} = \frac{5}{2}[/tex] hours.
[tex]\text{Unit rate per hour} = \frac{\text{Number of aquariums}}{\text{Number of hours}}[/tex]
Substitute the given values we get;
[tex]\text{Unit rate per hour} = \frac{\frac{4}{3}}{\frac{5}{2}}}[/tex]
Simplify:
[tex]\text{Unit rate per hour} = \frac{8}{15}[/tex]
Now, to find the number of hours will it take to fill 4 aquarium.
[tex]{\frac{8}{15}} = \frac{4}{\text{Number of hours}}[/tex]
or
[tex]\text{Number of hours} = \frac{4}{\frac{8}{15}} = 4 \times \frac{15}{8} = \frac{15}{2} = 7\frac{1}{2}[/tex]
therefore, it will take to fill aquarium is, [tex]7\frac{1}{2}[/tex] hours