Question 1203506
<br>
A quick mental solution....<br>
Take away the "extra" 17 green marbles.
That leaves 117-17 = 100 marbles in the bag, with equal numbers of blue and green.
So there are 100/2 = 50 of each left in the bag.
Now put the 17 green ones back, giving the answer as 50 blue and 50+17 = 67 green.<br>
--------------------------------------------------------------<br>
Or, if formal algebra is required....<br>
Let x = # of blue marbles
Then x+17 = # of green marbles<br>
The total number is 117:<br>
x+(x+17) = 117
2x+17 = 117
2x = 100
x = 50<br>
ANSWER: x=50 blue marbles and x+17=67 green marbles<br>