Respuesta :
Answer:
$19
Step-by-step explanation:
In this problem, we have to apply the rule of three. Also, we must have present that $15.20 is the 80% of the price, because the store offers a 20% of discount. So, if $15.20 is 80%, how much would be the 100%?
[tex]x=100\%\frac{15.20}{80\%} =\frac{1520}{80}=$19[/tex]
Therefore, the original price of the pants is $19.
Remember that we must identified the right proportion to apply the rule of three, in this case, that proportion is the 80% with 15.20, that's the reason or fraction center of the whole operation.
You can use the percentage rate given to find the amount of discount given in sale.
The original price of the pants was 19 bucks.
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Let the original price of the pants be [tex]x[/tex] bucks.
The 20% of this price will be [tex]\dfrac{x}{100} \times 20 = \dfrac{x}{5}[/tex] (since 5 times 20 is 100)
This amount was deducted from x bucks and the remaining price was the price of the pants which is given to be 15.20
Thus,
Remaining price = Original price - discount
[tex]15.20 = x - \dfrac{x}{5} = \dfrac{5x}{5} - \dfrac{x}{5} = \dfrac{5x - x}{5} = \dfrac{4x}{5}\\\\\\\text{Multiplying 5 on both the sides}\\\\15.20 \times 5 = \dfrac{4x}{5} \times 5\\\\76 = 4x\\\\\text{Dividing both sides by 4}\\\\\dfrac{76}{4} = \dfrac{4x}{4}\\\\19 = x\\x = 19[/tex]
Thus, the original price of the pants was 19 bucks.
Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in [tex]2 \times x = 2x[/tex]
Thus,
The original price of the pants was 19 bucks.
Learn more about percentage here:
https://brainly.com/question/11549320
