John had some marbles. 30% of them were blue and 20% of the remainder were white. The rest were yellow. He gave away all the blue and yellow marbles to his friends. What percentage of the marbles did he give away?
Question
John had some marbles. 30% of them were blue and 20% of the remainder were white. The rest were yellow. He gave away all the blue and yellow marbles to his friends. What percentage of the marbles did he give away?
Solution
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First, we know that John had some marbles, and 30% of them were blue.
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Then, 20% of the remaining marbles (which is 70% of the total, because 100% - 30% = 70%) were white.
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The rest of the marbles were yellow.
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John gave away all the blue and yellow marbles.
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To find out what percentage of the marbles he gave away, we need to add the percentage of blue marbles to the percentage of yellow marbles.
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We already know that the blue marbles make up 30% of the total.
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To find the percentage of yellow marbles, we subtract the percentage of white marbles from the remaining 70%.
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The white marbles make up 20% of the remaining 70%, which is 0.20 * 70 = 14% of the total.
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So, the yellow marbles make up 70% - 14% = 56% of the total.
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Therefore, John gave away 30% (blue) + 56% (yellow) = 86% of the marbles.
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