30-11-2015
Mathematics

Answered

There are 765 marbles in a box. There are twice as many blue marbles as green marbles. There are three times as many red marbles as blue. How many blue marbles are there in the box?

Verified Answer :

apologiabiology apologiabiology

03-02-2016

b=blue
g=green
r=red
2 times as many blue as green
b=2g
3 times as many red as blue
r=3b
subsitute 2g for b
r=3(2g)=6g
r=6g

r+g+b=765
so we subsitute
r=6g
g=g
b=2g

6g+g+2g=765
add like terms
9g=765
divide both sides by 9
g=85
subsitute
b=2b
b=2(85)
b=170

170 blue

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