danisnotonfire
Answered

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HELP!!!!!!! Terrence was filling the new fish aquariums where he works. He was able to fill 1 1/3 aquariums in 2 1/2 hours. At this rate, how long will it take him to fill 4 aquariums?

Sagot :

kasumi
7 1/2 hours.
1 1/3 - 2 1/2
2 2/3 - 5
4- 7 1/2

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

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