A sweater is on sale for $18.00, which is 50% off of its original price. what was the original price of the sweater?

A sweater is on sale for $18.00 which is 50% off of its original price, to simply get the original price, you add 18 to itself, since 18 is the half of the original price, so to get the original price you have to add the missing 50% which is 18 as well, so you got $18.00 - 50% and another $18.00 - 50%. add them together you get $36.00, which is equivalent to 100%.

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InesWalston InesWalston · Answer 2 · 2018-11-26T12:42:38+01:00

Answer-

The original price of the sweater was $36.00

Solution-

Let us assume the original price of the sweater was $x

As there is a 50% discount on the original price, so the selling price of the sweater would be

[tex]=x-\dfrac{50}{100}x[/tex]

[tex]=x-\dfrac{1}{2}x[/tex]

[tex]=\dfrac{x}{2}[/tex]

But it is given that the selling price of the sweater was $18, so

[tex]\Rightarrow \dfrac{x}{2}=18[/tex]

[tex]\Rightarrow x=2\times 18[/tex]

[tex]\Rightarrow x=\$36[/tex]

Therefore, the original price of the sweater was $36.00