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A drawer has some red, green, and blue marbles. There are 33 marbles.
There are 4 times as many red marbles as green marbles. There are half
as many blue marbles as green marbles. How many blue marbles are in
the drawer?
Green marbles = x. There are 4 times as many red marbles as green marbles, so red marbles = 4x. There are half as many blue marbles as green marbles, so blue marbles = 0.5x There are 33 marbles in total, so x+4x+0.5x=33.
so number of red is represented by r number of green is represented by g number of blue is represented by b
so r+g+b=33
there are 4 times as many red as green or r=4g there are half as many blue as green 1/2g=b or g=2b
so r+g+b=33 we can subsitute 1/2g=b for b r+g+1/2g=33 subsitute r=4g for r in the equation 4g+g+1/2g=33 add like terms 5 1/2g=33 multiply both sides by 2 11g=66 divide both sides by 11 g=6
there are 6 green marbles
subsitute g=6 into r=4g and g=2b
r=4(6) r=24 there are 24 red marbles
g=2b 6=2b divide both sides by 2 3=b threre are 3 blue marbles
there are 24 red marbles, 6 green marbles, and 3 blue marbles and 24+6+3=33 r=24 g=6 b=3
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