Ex: Find the Sale Tax Percentage


– IF AFTER TAX YOU PAY $56.42 FOR AN ITEM THAT HAS
A SALE PRICE OF $52, WHAT IS THE SALES TAX
PERCENTAGE? WELL, THE INCREASE
FROM THE SALE PRICE TO THE PRICE YOU PAY
REPRESENTS THE AMOUNT OF TAX. SO WE’LL FIRST DETERMINE
THE AMOUNT OF TAX AND THEN WE’LL DETERMINE
WHAT PERCENT THAT TAX IS OF THE SALE’S PRICE. SO THE TAX AMOUNT EQUALS
THE PRICE YOU PAID MINUS THE SALE PRICE. SO IN THIS CASE,
THE TAX AMOUNT WOULD BE $4.42. AND NOW TO ANSWER THE QUESTION. WHAT IS THE PERCENT
OF SALES TAX? WE WANT TO BE ABLE
TO WRITE A SIMPLE QUESTION WHICH WE CAN THEN TRANSLATE
INTO A PERCENT EQUATION. SO WHAT WE REALLY WANT
TO KNOW IS, $4.42 IS WHAT PERCENT
OF THE SALE PRICE, WHICH IS $52? NOW LET’S GO AHEAD AND TRANSLATE
THIS INTO A PERCENT EQUATION USING THE KEYWORDS. SO WE HAVE 4.42,
“IS” MEANS EQUALS. WHAT NUMBER OR WHAT PERCENT
REPRESENTS THE UNKNOWN. LET’S GO AHEAD AND USE P
FOR OUR VARIABLE. THIS WILL REMIND US THAT OUR
ANSWER MUST BE A PERCENTAGE. THEN WE HAVE “OF,”
WHICH MEANS MULTIPLICATION. AND THEN WE HAVE $52. SO TO SOLVE THIS EQUATION
FOR P, WE HAVE TO UNDO
THIS MULTIPLICATION. SO WE’RE GOING TO DIVIDE
BOTH SIDES BY 52 OR $52. LET’S USE OUR CALCULATOR
TO DETERMINE THIS PERCENTAGE. WE HAVE 4.42 DIVIDED BY 52. SO NOTICE HOW THIS IS GIVING US
THE PERCENT AS A DECIMAL. SO TO CONVERT THIS
TO A PERCENTAGE, WE NEED TO MULTIPLY BY 100.
SO THE TAX RATE IS 8.5%. SO OUR SOLUTION HERE
WAS P=0.085, WHICH AS A PERCENTAGE,
AS WE SAID, IS 8.5%.

10 thoughts on “Ex: Find the Sale Tax Percentage

  1. I've been struggling to understand this for DAYS; I finally understood it with your video!!! THANKS!!!

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