SOLUTION: the sum of the reciprocal of a number and the reciprocal of 3 less that the number 5 time the reciprocal of the original number. find the original number

Question 607121: the sum of the reciprocal of a number and the reciprocal of 3 less that the number 5 time the reciprocal of the original number. find the original number
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let x = "a number"
:
Write an equation for the statement:
"the sum of the reciprocal of a number and the reciprocal of 3 less that the number 5 time the reciprocal of the original number."
+ + 3 = 5()
multiply by 3x, results
1(3) + 1(x) + 3(3x) = 3(5)
:
3 + x + 9x = 15
10x = 15 - 3
10x = 12
x = 12/10
x = 1.2
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