SOLUTION: Unable to solve. Please help. Thanks. The reciprocal of 5 less than a number is 4 times the reciprocal of twice the number. Find the number.

Question 127980: Unable to solve. Please help. Thanks. The reciprocal of 5 less than a number is 4 times the reciprocal of twice the number. Find the number.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Write an expression for each phrase
:
Let x = "a number"
:
"The reciprocal of 5 less than a number"

:
"4 times the reciprocal of twice the number."
4*
:
The word "is" means equal
"The reciprocal of 5 less than a number is 4 times the reciprocal of twice the number."
= 4*
Same as:
=
:
Find the number.
Cross multiply the above equation:
4(x-5) = 2x
:
4x - 20 = 2x
:
4x - 2x = +20
:
2x = 20
x =
x = 10
:
:
Check solution in original equation:
= 4*
= 4*
= ; confirms our solution
:
:
Did this make sense to you? Any questions?

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