If three times a number added to 2 is divided by the number plus 3 the result is five halves find the number

Question

If three times a number added to 2 is divided by the number plus 3 the result is five halves find the number

Answer 1

Zeinab,  Solve for x;  So,  Let x= unknown number.  In the problem 3(x + 2)/x +3=5/2.  Now solve for x.  Multiply both sides by x + 3.  So 3x + 2= 5(x +3)/2.  3x + 2=5x +15/2.  Now multiply both sides by 2.  2(3x + 2)= 5x +15.  6x + 4= 5x+15.  Combine like terms:  x=11.  Check:  2(3(11) +2= 5(11) +15.  70=70

Answer 2

Dear Zeinab,

 

     Start by writing the story problem and highlighting all key words and numbers.  Let "X" = the number.

 

              (3X                   +    2)/                                  X+3                            =    5/2

If three times a number added to 2 is divided by the number plus 3 the result is five halves. 

 

 

Problem:   Find the number.  Find "X."

 

(3X  + 2)  /(X +3)    =   5/2             Now cross multiply:    2*(3X+2)= 5(X+3)

 

 

6X + 4 = 5X + 15              distributive property   Solve for "X."  Also, please give me a positive vote.

 

 

I will let you finish the problem.  If there is still a problem, just let me know.

                                                                           Susan C.