Answered

Discover new information and insights with the help of IDNLearn.com. Get accurate and comprehensive answers from our network of experienced professionals.

if 2/5 of a ton of concrete covers 5/6 of a wall, how many tons of concrete are required to cover the entire wall?

Sagot :

Thumperhacker11idn
Your answer would be 12/25 tons. If you set up a proportion  2/5             X
                                                                                       --------   =   -------
                                                                                        5/6             1
Solve your proportion.    

Answer:

[tex]\frac{12}{25}[/tex] tons.

Step-by-step explanation:

Let x represent the tons of concrete required to cover the entire wall.

We have been given that 2/5 of a ton of concrete covers 5/6 of a wall. We are asked to find the tons of concrete that are required to cover the entire wall.

We will use proportions to solve our given problem.

Since we need to cover an entire wall, so we can set an equation as:

[tex]\frac{\frac{2}{5}\text{ tons}}{\frac{5}{6}\text{ wall}}=\frac{x\text{ tons}}{1\text{ wall}}[/tex]

Upon cross multiplying our equation we will get,

[tex]\frac{2}{5}\text{ tons}\cdot 1\text{ wall}=\frac{5}{6}\text{ wall}\cdot x\text{ tons}[/tex]

[tex]\frac{2}{5}=\frac{5}{6}\cdot x[/tex]

Multiplying both sides by 6/5 we will get,

[tex]\frac{6}{5}\cdot\frac{2}{5}=\frac{6}{5}\cdot\frac{5}{6}\cdot x[/tex]

[tex]\frac{6\cdot 2}{5\cdot 5}= x[/tex]

[tex]\frac{12}{25}= x[/tex]

Therefore, [tex]\frac{12}{25}[/tex] tons of concrete are required to cover the entire wall.

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.