Respuesta :

manuelatuozzo

Answer:

$82.5

Step-by-step explanation:

We can calculate it with a direct rule of 3. As it has a 30% off, the remaining price is the 70% and we want to know how much is the 100%

[tex]70\% -\!\!\!-\!\!\!- \$57.75\\ 100\% -\!\!\!-\!\!\!- \$ x[/tex]

We use the formula of the direct rule of 3:

[tex]x = \frac {100/100*57.75}{70/100} \\ \\ x = \frac {57.75}{70/100}\\ x = 57.75 * 100/70[/tex]

x = 82.5

The original price of the stereo was $82.5

The original price of the stereo is 82.5

Since the car stereo system was on sale for 30% off, this means that it was sold for 100% - 30% = 70% of the original price.

Let the original price be represented by x

Therefore, 70% of x will be 57.75

70/100 × x = 57.75

0.7 × x = 57.75

0.7x = 57.75

Divide both side by 0.7

0.7x/0.7 = 57.75/0.7

x = 82.5

The original price of the stereo is 82.5

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