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A furniture store is having a sale on sofas and you're going to buy one. The advertisers know that buyers get to the store and that 1 out of 4 buyers change to a more expensive sofa than the one in the sale advertisement. Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $400 and the more expensive sofa is $600?

Respuesta :

Answer: The average cost of a sofa is $350.

Step-by-step explanation:

Since we have given that

Cost of Advertised sofa = $400

Cost of more expensive sofa = $600

So, the average cost of a sofa is given by

[tex]\dfrac{200\times 1+300\times 3}{4}\\\\=\dfrac{200+1200}{4}\\\\=\dfrac{1400}{4}\\\\=\$350[/tex]

Hence, the average cost of a sofa is $350.

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