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Frank builds kitchen cabinets. He offers four different wood finishes. 1/8 of his customers choose dark walnut, 2/5 choose golden oak, and 3/10 choose cherry. The rest of the customers prefer a natural finish. What fraction of the customers choose the natural finish?

Respuesta :

carlosego

Answer: [tex]\frac{7}{40}[/tex]

Step-by-step explanation:

There is 1 group of costumers. You know that:

-  1/8  choose dark walnut.

- 2/5 choose golden oak.

- 3/10 choose cherry.

 Therefore,you must make the subtraction shown below to find the fraction of the customers choose the natural finish- Therefore, the result is:

[tex]1-\frac{1}{8}-\frac{2}{5}-\frac{3}{10}=\frac{7}{40}[/tex]

valeriagonzalez0213

Answer:

The fraction of customers who prefer natural finishing es [tex]\frac{7}{40}[/tex]

Step-by-step explanation:

We call X the fraction of customers who prefer natural finishing and C the total number of customers.

We define the following equation that relates the variables X and C :

[tex]C = \frac{1}{8}C +\frac{2}{5}C +\frac{3}{10}C + X[/tex]

[tex]C-\frac{1}{8}C -\frac{2}{5}C-\frac{3}{10} C = X[/tex]

We apply common denominator 200:

[tex]\frac{200 * C-1 * 25C-2 * 40C-20 * 3C}{200}  = X[/tex]

[tex]\frac{(200-25-80-60) C}{200}  = X[/tex]

[tex]X = \frac{35}{200} C[/tex]

We divide both terms of the fraction by 5 :

[tex]X =\frac{7}{40}C[/tex]

The fraction of customers who prefer natural finishing es [tex]\frac{7}{40}[/tex]

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