Question

Marcia bought a bag of marbles. there were twice as many purples ones as red ones there were 93 marbles in all. how many of each color marble were there?

Answer 1

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