A state sales tax rate is 6.5%. If the tax on a purchase was $16.51, what was the price of the purchase.
6.5%/$16.51=$254.00
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You're right.
you are right
6.5 % = $16.51
100 % = x
16.51 x 1oo= 1651 / 6.5 = 254
Certainly! Let me explain how to solve the problem.
To find the price of the purchase, we need to determine the original price before the sales tax was applied.
Step 1: Calculate the tax rate as a decimal. In this case, the tax rate is 6.5%, which is equivalent to 0.065 (since percent means "per hundred," we divide 6.5 by 100 to convert it to a decimal).
Step 2: Divide the tax amount by the tax rate. In this case, we divide $16.51 by 0.065:
$16.51 / 0.065 = $254.00
So, the original price of the purchase before the sales tax was applied is $254.00.
If you want to check this answer, you can calculate the tax on the original price:
Step 1: Multiply the original price by the tax rate.
$254.00 * 0.065 = $16.51
As you can see, the calculated tax of $16.51 matches the given tax amount, confirming that the original price is indeed $254.00.
I hope this helps! Let me know if you have any other questions.