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?

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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)   (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.
==============

Answer by ankor@dixie-net.com(22740)   (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:
+ 4 = n - 11
subtract 4 from both sides
= n - 11 - 4
= 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"
+ 4 = 18 - 11
3 + 4 = 7

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

means the answer to a , and than means from, so if ,


Add to both sides


Multiply both sides by (the inverse of divide)


Add to both sides


Add to both sides





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