lenny bought a motorcycle. he paid 12.5% in tax. the tax added $1437.50 to the price of the motorcycle. what…

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?

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?

Answer

Explanation:

Step1: Set up the proportion

Let the price of the motorcycle before - tax be $x$. We know that the tax rate is $12.5%=\frac{12.5}{100} = 0.125$, and the tax amount is $1437.50$. The relationship is $0.125x=1437.50$.

Step2: Solve for $x$

Divide both sides of the equation $0.125x = 1437.50$ by $0.125$. So $x=\frac{1437.50}{0.125}$. $x = 11500$.

Answer:

$11500$