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.