Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Given in the question:
a.) One aquarium contains 2.1 cubic feet of water.
b.) The other aquarium contains 1.4 cubic feet of water.
c.) The water in the larger aquarium weighs 43.68 pounds more than the water in the smaller aquarium.
To be able to answer this type of problem, we will be applying the ratio and proportion:
We get,
[tex]\frac{Wt\text{. of Large Aquarium}}{Volume\text{ of Large Aquarium}}\text{ = }\frac{Wt.\text{ of Small Aquarium}}{Volume\text{ of Small Aquarium}}[/tex][tex]\text{ }\frac{\text{ w + 43.68 lbs.}}{2.1ft.^3}\text{ =}\frac{\text{ w}}{1.4ft.^3}\text{ }\rightarrow\text{ }\frac{w\text{ + 43.68}}{2.1}\text{ = }\frac{w}{1.4}[/tex][tex]\frac{w\text{ + 43.68}}{2.1}\text{ = }\frac{w}{1.4}[/tex][tex](w\text{ + 43.68)}(1.4)\text{ = (}w)(2.1)[/tex][tex]\text{ 1.4w + }61.152\text{ = 2.1w}[/tex][tex]\text{2.1w = 1.4w + }61.152[/tex]Therefore, the equation is 2.1w = 1.4w + 61.152
Let's determine the value of w:
[tex]\text{2.1w = 1.4w + }61.152[/tex][tex]\text{2.1w - 1.4w = }61.152[/tex][tex]0.7\text{w = }61.152[/tex][tex]\frac{0.7\text{w }}{0.7}\text{= }\frac{61.152}{0.7}[/tex][tex]\text{ w = }87.36\text{ lbs.}[/tex]Let's determine the weight of 1 cubic foot of water:
[tex]\text{ Wt. of 1 ft}^3\text{ of water = }\frac{Wt.\text{ of Small Aquarium}}{Volume\text{ of Small Aquarium}}[/tex][tex]\text{ = }\frac{87.36\text{ lbs.}}{1.4ft.^3}[/tex][tex]\text{ = }62.4lbs./ft^3[/tex]Therefore, the weight of 1 cubic foot of water is 62.4 lbs.
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
