SOLUTION: A bag contains three varieties of marbles. Blue, green, and yellow. There are 18 more blue marbles than there are green marbles and there are 14 more green marbles than there are y

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Question 28777: A bag contains three varieties of marbles. Blue, green, and yellow. There are 18 more blue marbles than there are green marbles and there are 14 more green marbles than there are yellow marbles. The total number of marbles is 112. Show how to find the number of marbles of each variety by letting a variable represent one of the unknown quantities.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Read the problems backwards it is easier to comprehend it that way.

yellow marbles = x
Green marbles = x+14
Blue marbles = 18+14+x
together:
equation:

x+x+14+18+14+x=112
add like terms:
3x+46=112
3x=66
x=22
22+14=36
32+22=54


Hence, there are 22 yellow marbles, 36 green marbles and 54 blue marbles.
Paul.