The scale factor of the dimensions of two similar wood floors is 5 : 4. It costs $352 to refinish the smaller wood floor. At that rate, how much would it cost to refinish the larger wood floor?

Question

Mathematics

Carsen Wolf

Today, 08:32

The scale factor of the dimensions of two similar wood floors is 5 : 4. It costs $352 to refinish the smaller wood floor. At that rate, how much would it cost to refinish the larger wood floor?

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Wilcox · Answer 1

Well since we know that the cost of the wood floors have a 5:4 ratio, we can determine that 4x = $352. Using this information, we must determine the value of 5x or the larger wood floor.

First we solve for x.

4x = 352

4x/4 = 352/4

x = 88

Now substitute the value of x into 5x

5x = 5 (88) = 440

It will cost $440 for the larger wood floor.