If a=b/5 and 10 a =14, what is b?

Question

math word problem

Answer 1

Let's start by making various changes to each equation:

    a = b / 5

   5a = b             [multiply both sides by 5]

  and

   10a = 14

    a = 14/10 = 7/5       [divide both sides by 10; reduce]

 

Once we have isolated either 'a' or 'b' on one side of the equation, we may substitute that value into the other equation.

 

  b = 5a   and    a = 7/5

  b = 5(7/5)

  b = 7

Answer 2

 

Since a = b/5 

 

We can substitute b/5 for "a" on the equation, 10a = 14

 

   10a = 14

   10(b/5) = 14

   10b/5 = 14

 

Cross multiplying

 

   10b = 5(14)

   10b = 70

       b = 70/10

       b = 7

 

 

 

Answer 3

 

 

          A  =   b      and     10            a=14

                   __                                                  

                    5                                                          

 

 

          14   =        b     + 10          

                         ___                                     

                          5                                                 

 

 

          14     =     b        +  10

        -10           ___      -10                 

                          5                      

      ________________________

           4      =     b                                    

         ___         ___                                   

           1            5                                        

 

 

                 b =  20                                               

 

      Hope    this    helps  !                                             

 

            Oscar