ten less the quotient of a number and 3 is 6.

Question

help needed with equation!

Answer 1

"Ten less" means that we subtract 10.  "Quotient" means that we divide.

 

 

(x / 3) - 10 = 6

 

 

I can show you how to solve for x.

 

 

Add 10 on both sides of the equation.

 

x / 3 = 16

 

 

Multiply both sides of the equation by 3.

 

x = 48

Answer 2

We rarely use "less" this way -- like saying, "a dollar less a dime" -- but that's what this problem says.

 

Let x be the number.

 

"ten less the quotient of a number and 3 is 6"  means

  10   -       (                    x  /          3)   =   6

or

   10 - (x/3) = 6

       -(x/3) = -4             (subtract 10 from both sides)

         x = 12               (multiply both sides by (-3)

 

Checking (very important):

   Is   10 - (12/3) = 6   ?

         10 - 4  = 6   ?

            6   =   6   ?   yes.

Answer 3

ten    less   quotient of number and 3  is    6

10      -                      n/3                    =    6

 

10 - n/3 = 6