SOLUTION: Hi. I need help figuring out how to do this problem. Thanks. Four added to the quotient of a number and 6 is equal to 11 less than the number. What is the number?

Algebra ->  Human-and-algebraic-language -> SOLUTION: Hi. I need help figuring out how to do this problem. Thanks. Four added to the quotient of a number and 6 is equal to 11 less than the number. What is the number?      Log On


   



Question 645564: Hi. I need help figuring out how to do this problem. Thanks.
Four added to the quotient of a number and 6 is equal to 11 less than the number. What is the number?

Found 3 solutions by stanbon, ankor@dixie-net.com, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Four added to the quotient of a number and 6 is equal to 11 less than the number. What is the number?
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Let the number be "x":
Equation:
(x/6) + 4 = x - 11
----
x - (x/6) = 4 + 11
--------
(5/6)x = 15
x = 15(6/5)
x = 18
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Cheers,
Stan H.
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Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Four added to the quotient of a number and 6 is equal to 11 less than the number. What is the number?
:
let n = "the number" and just write an equation for what it says:
n%2F6 + 4 = n - 11
subtract 4 from both sides
n%2F6 = n - 11 - 4
n%2F6 = n - 15
Multiply both sides by 6
n = 6(n-15)
n = 6n - 90
90 = 6n - n
90 = 5n
n = 90/5
n = 18 is the number
:
:
See if that works in the statement
"Four added to the quotient of a number and 6 is equal to 11 less than the number"
18%2F6 + 4 = 18 - 11
3 + 4 = 7

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Quotient means the answer to a division, and less than means subtracted from, so if n+=+the_+number,

n%2F6+%2B+4+=+n+-+11
Add -4 to both sides
n%2F6+%2B+4-4+=+n+-+11-4
n%2F6+=+n+-+15
Multiply both sides by 6 (the inverse of divide)
n+=+6n+-+90

Add 90 to both sides
n%2B90+=+6n+90-+90
n%2B90+=+6n+
Add -n to both sides
n-n%2B90+=+6n+-n
90+=+5n+
90%2F5+=+n+
highlight%28n+=+18%29