Fraction word problem  TOPIC_SOLVED

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Fraction word problem

Postby magellan333 on Sun Jan 05, 2014 4:18 am

I have worked this a few times and keep ending up with 45/7 for the answer. The book says -9 is the answer. Any help is appreciated!

When a certain number is added to the numerator and subtracted from the denominator of the fraction 3/8, the result is 6. What is the number?

I have tried the following :

3+x/8-x = 6

(8-x) 3+x/8-x = 6 (8-X)

3+X = 48-6x

45=7x

X=45/7
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  TOPIC_SOLVED

Postby stapel_eliz on Sun Jan 05, 2014 6:25 pm

magellan333 wrote:I have worked this a few times and keep ending up with 45/7 for the answer. The book says -9 is the answer. Any help is appreciated!

When a certain number is added to the numerator and subtracted from the denominator of the fraction 3/8, the result is 6. What is the number?

I have tried the following :

3+x/8-x = 6
(8-x) 3+x/8-x = 6 (8-X)
3+X = 48-6x
45=7x
X=45/7

Your set-up and steps look find, so let's check the book's answer:

. . . . .

. . . . .

. . . . .

...which clearly doesn't equal 6. Now that we've established that the book is wrong, check your answer to see if you (can prove that you) are correct. :wink:
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