a sales tax rate is 7.5% if the tax on a purchase is 9.75 what was the price of the purchase

Question

I struggle with word problem math I had help

Answer 1

(Sale Price) x  (Sales tax rate) = tax

 

You are missing the Sale price so we will use P in place of that.

 

P x 7.5% = 9.75

 

 

Rewrite 7.5% as a decimal.  0.075

 

P x 0.075 = 9.75

 

Since we are solving for P, and P is multiplying by the 0.075, then we must divide the right side by 0.075 to "undo" the multiplication on the left side.

 

9.75 divided by 0.075 is 130

 

So the price was $130.