Question

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 1

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