Verified Answer :

apologiabiology

r=number of red m arbles
p=number of purple marbles

2 times as many purple as red
p=2r

total is 93
r+p=93

we have
p=2r
r+p=93

subsitute 2r for p
r+2r=93
3r=93
divide 3
r=31

subsitute
p=2r
p=2(31)
p=62


31 red
63 purble

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