Question

Please help me with my math problem. 4 loads of stone weigh 2/3 of a ton. Find the weight of 1 load of stone. thank you.

Answer 1

`\bf \begin{array}{ccll} loads&tons\\ \cline{1-2} 4&(2)/(3)\\\\ 1&x \end{array}\implies \cfrac{4}{1}=\cfrac{~~(2)/(3)~~}{x}\implies 4=\cfrac{~~(2)/(3)~~}{(x)/(1)}\implies 4=\cfrac{2}{3}\cdot \cfrac{1}{x} \\\\\\ 4=\cfrac{2}{3x}\implies 12x=2\implies x=\cfrac{2}{12}\implies x=\cfrac{1}{6}`

Answer 2

For this case we propose a rule of three:

4 loads of stone ------------->
`\frac {2} {3}` ton

1 load of stone ---------------> x

Where:

x: Represents the weight of a stone load. So:

`x = \frac {1 * \frac {2} {3}} {4}\\x = \frac {\frac {2} {3}} {4}\\x = \frac {2} {12}\\x = \frac {1} {6}`

Finally, the weight of a stone load is
`\frac {1} {6}`of one ton

ANswer:

`\frac {1} {6}`of one ton