Mrs. Owens bought two candle holders for her dining room table. She paid with a $100 bill and received $32.16 in change. If sales tax is charged at a rate of 6%, what was the price for one candle holder before taxes? Drag and drop an answer choice into each empty box below. $32.00 $32.16 $33.92 $63.76 The price of one candle holder before taxes was
Mathematics · High School · Tue Nov 03 2020
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Given:
Amount paid = $100
Change received from two candleholders = $32.16
Sales tax charge = 6%
Determine the price of one candle holder.
Solution:
In order to determine the price of one candle holder, we must first solve for the price of two candleholders.
Total price of two candleholders = $100 - $32.16
Total price of two candleholders = $67.84
The sales tax charge is already included in 67.84, hence we must exclude it in order to find the individual price of each candleholder. This can be done by determining what is 6% of 67.84.
Since we are given a fraction, we must convert it first into decimal. In converting a percentage into a decimal, divide the percentage by 100, hence in converting a decimal to a percentage, multiply the percentage by 100.
= 6 /100
= 0.06
Multiply 0.06 by 67.84.
= (0.06)(67.84)
= $4.1
Subtract 4.1 by 67.84.
= $67.84 -$4.1
= $63.74
Divide 63.74 by 2 in order to determine the individual prices.
= $31.87 or $32.00
Final answer:
The price of each candleholder is $32.00