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
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Let x = "a number"
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"The reciprocal of 5 less than a number"
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"4 times the reciprocal of twice the number."
4*
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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: =
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Find the number.
Cross multiply the above equation:
4(x-5) = 2x
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4x - 20 = 2x
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4x - 2x = +20
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2x = 20
x =
x = 10
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Check solution in original equation: = 4* = 4* = ; confirms our solution
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