Question 654833

"The quotient of a number and 5 is the same as the product of the number and 5. Find the number."

I need help solving this word problem. So far, what I have done is this:
 
The quotient of a number and 5: x/5
 
is: =
 
the same as the product of the number and 5: 5x
 
x/5 = 5x
 
5/x times x/5 equals x
 
1/5x times 5x/1 equals 1
 
x = 1
 
When I did the checkback, it was not equal: 1/5 = 5 x 1
 
Please tell me where I went wrong. Your help will be greatly appreciated!


You were okay up to this point: {{{x/5 = 5x}}}


Next {{{x = 25x}}} --- You can either cross-multiply or multiply each side of the equation by LCD, 5. The result is the same.


x - 25x = 0


- 24x = 0


{{{x = 0/- 24}}}, or {{{highlight_green(0)}}}


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