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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2
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=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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