Ferds frog jumped 7 times as Als frog. The two frogs jumed a total of 56 inches. How far did freds frog jump?

Question

algebra comparison problems

Answer 1

Let's say Als frog jumped x inches

Fred's frog jumped 7x inches

 

7x + x = 56

8x = 56

x = 7

 

Fred's frog = 7x = 7* 7 = 49 inches

Answer 2

Let x = the distance that Al's frog jumped.  If Fred's frog jumped 7 times as far, then we can say 7x is the distance that Fred's frog jumped.  Both frogs jumped a total of 56 inches.

 

So Als' frog + Fredl's frog = 56

 

                x + 7x = 56

 

                      8x = 56

 

We divide both sides of the equation by 8 so we can get x on one side of the equal sign alone which leaves us with 

 

                      x = 56/8   so x (Al's frog) = 7

 

Fred's frog jumped 7 times as far as Al's, so 7 x 7 = 49 (Fred's frog)

 

We can check our answer by replacing x with 7.

 

                 7 + (7 * 7) = 56

           

                       7 + 49 = 56

 

                              6 = 56

 

 

 

Answer 3

Let X= the distance Als frog jumped.

Let y= the distance Freds frog jumped.

Hence:  x+y=56

            y=7x

Substituting 7x for y in the first equation:

            x+7x=56

            8x=56

            x=7

Therefore, Als frog jumped 7 inches and Freds jumped 7x7=49 inches.