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astraxan [27]
3 years ago
6

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 t

his rate, how long will it take him to fill 4 aquariums?
Mathematics
2 answers:
Alex17521 [72]3 years ago
8 0
7 1/2 hours.
1 1/3 - 2 1/2
2 2/3 - 5
4- 7 1/2
12345 [234]3 years ago
8 0

Answer:

7\frac{1}{2} 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 1\frac{1}{3}=\frac{4}{3}aquariums in  2\frac{1}{2} = \frac{5}{2} hours.

\text{Unit rate per hour} = \frac{\text{Number of aquariums}}{\text{Number of hours}}

Substitute the given values we get;

\text{Unit rate per hour} = \frac{\frac{4}{3}}{\frac{5}{2}}}

Simplify:

\text{Unit rate per hour} = \frac{8}{15}

Now, to find the number of hours will it take to fill 4 aquarium.

{\frac{8}{15}} = \frac{4}{\text{Number of hours}}

or

\text{Number of hours} = \frac{4}{\frac{8}{15}} = 4 \times \frac{15}{8} = \frac{15}{2} = 7\frac{1}{2}

therefore, it will take to fill aquarium is, 7\frac{1}{2} hours

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