In 2005, the average cost of a traditional Thanksgiving dinner for 10, featuring turkey, stuffing, cranberries, pumpkin pie, and trimmings, was $36.78, an increase of 3.1% over the cost in 2004. What was the cost, to the nearest cent, in 2004?

Respuesta :

Answer:

The cost in 2004 was $35.67.

Step-by-step explanation:

This question can be solved by rule of three.

In 2005, the price os $36.78 was a 3.1% increase over the cost in 2004.

So 36.78 is 100+3.1 = 103.1% = 1.031.

The 2004 cost of $x is the equivalent ot 100% = 1.

So

$x - 1

$36.78 - 1.031

[tex]1.031x = 36.78[/tex]

[tex]x = \frac{36.78}{1.031}[/tex]

[tex]x = 35.67[/tex]

The cost in 2004 was $35.67.