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Omar and Zina Aboud found that the dealers cost of the base price was $16.558.16 and the dealer's options cost was $611.60. The consumer paid the $476.00 destination charge. If the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, find the car's sticker price.

Respuesta :

We want to calculate the sticker price. The sticker price is given by the formula

[tex]\text{sticker price = base }price+\text{ options + destination charge}[/tex]

We are told that the destination charge is 476. We should determine the base price and the options to find the price sticker.

We are told that the dealer's cost of the base price is 92% of the pase price. So we have the equation

[tex]16558.16=\frac{92}{100}\cdot\text{base price}[/tex]

so if we divide both sides by 92 and multiply by 100 we get

[tex]\text{base price = }16558.16\cdot\frac{100}{92}=17998[/tex]

Now, applying the same principal for the options, we have

[tex]611.60=\frac{88}{100}\text{options}[/tex]

which means that

[tex]\text{options}=611.6\cdot\frac{100}{88}=695[/tex]

Replacing these values in the original equation we have that

[tex]\text{sticker price = }17998+695+476=19169[/tex]

so the sticker price would be 19169

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