if an item is 40% off the original price, and the final price is $22, what is the original price of the item
Great answer MathsGod1
This is how I would do it with an equation
60% of X = 22
$${\mathtt{0.6}}{\mathtt{\,\times\,}}{\mathtt{X}} = {\mathtt{22}}$$
$${\frac{{\mathtt{0.6}}{\mathtt{\,\times\,}}{\mathtt{X}}}{{\mathtt{0.6}}}} = {\frac{{\mathtt{22}}}{{\mathtt{0.6}}}}$$
$${\mathtt{X}} = {\frac{{\mathtt{22}}}{{\mathtt{0.6}}}}$$
$${\frac{{\mathtt{22}}}{{\mathtt{0.6}}}} = {\frac{{\mathtt{110}}}{{\mathtt{3}}}} = {\mathtt{36.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$
So the original price was $36.67