SOLUTION: "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: Th

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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!

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

"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:

Next --- 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

, or

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com=

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