SOLUTION: 1- A bag is filled with green and blue marbles. There are 57 marbles in the bag. If there are 17 more green marbles than blue marbles, find the number of green marbles and the numb

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: 1- A bag is filled with green and blue marbles. There are 57 marbles in the bag. If there are 17 more green marbles than blue marbles, find the number of green marbles and the numb      Log On


   

Question 1200077: 1- A bag is filled with green and blue marbles. There are 57 marbles in the bag. If there are 17 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.
The number of blue marbles is :
The number of green marbles is:


2-Solve each equation.
Type "oo" (two lower case o's as in octopus) for ∞ if there are infinite solutions (all real numbers). Type "DNE" (Does Not Exist) if there is no solution.
2(8x−3)−1=16x−7

−2(−6x−9)−1=12x+21


Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


#1

From the total number of marbles:  g + b = 57

And from "there are 17 more green marbles than blue..." :  g = b+17



From the above, substitute for 'g' in the first equation: 

         (b+17) + b = 57  

            2b + 17 = 57

                 2b = 57 - 17 = 40

                  b = 40/2 

                  b = 20   -->  g = 37   



There are 20 blue marbles and 37 green marbles in the bag.



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#2   Please post as a separate problem, as the forum requires you supply one problem per post.