40% of the marbles in a bag are yellow. The rest are orange and green.

1.	40% of the marbles in a bag are yellow. The rest are orange and green. The ratio of the number of orange to the number of green is 4: 5. If there are 30 green marbles, how many yellow marbles are there? Use a visual model to show your answer.
Answer» Answer: 36 Step-by-step EXPLANATION: yellow marble=40% Ratio of ORANGE to green=4:5 green=30=5x 4x+5x=9x 4x+30=9x 30=9x-4x 30/5=x x=6 orange marble=4x=46 =24 Green and orange marble=24+30=54 60% of TOTAL marbles=54 60/100x=54 x=54100/60 x=90 yellow marble=total-(green + orange) yellow=90-54 yellow marbles=36

40% of the marbles in a bag are yellow. The rest are orange and green. The ratio of the number of orange to the number of green is 4: 5. If there are 30 green marbles, how many yellow marbles are there? Use a visual model to show your answer.

Answer»

Answer:

Step-by-step EXPLANATION:

yellow marble=40%

Ratio of ORANGE to green=4:5

green=30=5x

4x+5x=9x

4x+30=9x

30=9x-4x

30/5=x

x=6

orange marble=4x=4*6

=24

Green and orange marble=24+30=54

60% of TOTAL marbles=54

60/100x=54

x=54*100/60

x=90

yellow marble=total-(green + orange)

yellow=90-54

yellow marbles=36

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40% of the marbles in a bag are yellow. The rest are orange and green. The ratio of the number of orange to the number of green is 4: 5. If there are 30 green marbles, how many yellow marbles are there? Use a visual model to show your answer.

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