danisnotonfire
Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.