Question 202803
Let x = the amount before taxes.
{{{x+0.07x = 462.24}}} Simplify the left side.
{{{1.07x = 462.24}}} Divide both sides by 1.07
{{{x = 432}}}
The cost before the tax is $432.00
The sales tax is 7% of $432.00 = 0.07($432) = $30.24
Check:
{{{x+0.07x = 462.24}}} Substitute x = $432.00
{{{432+0.07(432) = 462.24}}}
{{{432+30.24 = 462.24}}}
{{{462.24 = 462.24}}} OK!