Question P6 Constant total
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Ravi, Suresh and Tara shared some marbles. Ravi had of the total, Suresh had 40% as many as Tara, and Tara gave 82 marbles to the other two so that all three had equal amounts. Find the original total number of marbles.
Answer
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Money moves between two people, so their total never changes.
In this one. Scale the combined 49-unit ratio by 3 so its 147-unit total divides exactly into three equal final shares of 49 units.
One person gives, sells or loses an amount to the other, and nobody outside the two people gains or loses anything.
Children draw different totals before and after, or forget that moving an amount from one person to the other changes the gap between them by twice that amount.
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