A bag contains 160 marbles. 3/8 of the marbles are red. Of the remaining marbles, 2/5 are blue and the rest are green. Hakim gives away 1/3 of his green marbles to his friend. How many green marbles does Hakim have left?
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Worked Solution
Step 1: Find red marbles.
3/8 x 160 = 60 red
Step 2: Find remaining marbles.
160 - 60 = 100 remaining
Step 3: Find blue marbles (fraction of REMAINING, not of 160).
2/5 x 100 = 40 blue
Step 4: Find green marbles.
100 - 40 = 60 green
Step 5: Find green marbles given away.
1/3 x 60 = 20 given away
Step 6: Find green marbles left.
60 - 20 = 40
Final Answer: 40 green marbles
Correct answer: 40
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