The number of red, blue, and green marbles in a bag is in the ratio 3: 4: 6. If 20 red marbles, 15 blue marbles, and an unknown number of green marbles are added to the bag, the ratio of red, blue, and green marbles becomes 4: 5: 7. Determine the number of green marbles added.

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Apedia · Accepted Answer

Correct Answer: 5.

Explanation: Initial ratio 3x, 4x, 6x. (3x+20)/(4x+15) = 4/5 => 15x+100 = 16x+60 => x=40. Green initial=240. New ratio 4y,5y,7y => 4y=140 => y=35. Green new=245. Added = 245-240 = 5.[span_51](start_span)[span_51](end_span)...

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The number of red, blue, and green marbles in a bag is in the ratio 3: 4: 6. If 20 red marbles, 15 blue marbles, and an unknown number of green marbles are added to the bag, the ratio of red, blue, and green marbles becomes 4: 5: 7. Determine the number of green marbles added.