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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?

2 Answers

6 votes

Answer:

The fraction of customers who prefer natural finishing es
(7)/(40)

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 :


C = (1)/(8)C +(2)/(5)C +(3)/(10)C + X


C-(1)/(8)C -(2)/(5)C-(3)/(10) C = X

We apply common denominator 200:


(200 * C-1 * 25C-2 * 40C-20 * 3C)/(200)  = X


((200-25-80-60) C)/(200)  = X


X = (35)/(200) C

We divide both terms of the fraction by 5 :


X =(7)/(40)C

The fraction of customers who prefer natural finishing es
(7)/(40)

User Atish
by
9.2k points
5 votes

Answer:
(7)/(40)

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:


1-(1)/(8)-(2)/(5)-(3)/(10)=(7)/(40)

User Mike Bonds
by
8.5k points