Lenny bought a motorcycle. he paid 12.5% in tax. the tax added $1437.50 to the price of the motorcycle. what was the price of the motorcycle, not including the tax?

In order to calculate the initial price of the motorcycle, we use the formula:

Total item price = (Item price*tax rate) + item price.

Rearranging the equation to solve for the unknown:

Item price=total item price/Tax rate.

Substituting the real values into the formula:

Item cost=1,437/12.5%. The result of this equation determines that the original price of the motorcycle (not including tax) is:

$11,496-$1,437=$10,059