SOLUTION: The reciprocal of a number is added to three. the result is the quotient of 25 and the number. Find the number

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Question 77432This question is from textbook beginning algebra
: The reciprocal of a number is added to three. the result is the quotient of 25 and the number. Find the number This question is from textbook beginning algebra

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=the number--------------then the reciprocal is 1/x
Now here's what we are told:
1/x+3=25/x multiply every term by x to get rid of the fractions
(1/x)(x)+3x=(25/x)(x) simplify
1+3x=25 subtract 1 from both sides
1-1+3x=25-1 collect like terms
3x=24 divide both sides by 3
x=8-------------------------------the number
CK
1/8+3=25/8 (note that 3 can be written as 24/8)
1/8+24/8=25/8
25/8=25/8

Hope this helps------------ptaylor