Orange Distribution riddle

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A kind gentleman decided to give 10 oranges to each of the girls in his town and 5 oranges to each of the boys.

Of the 612 children in his town, only half the girls and three quarters of the boys took the sweets.

How many oranges did the kind gentleman have to buy?

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  • 1 Answer(s)

    Well, as Isaac Asimov once wrote:  There is not enough data for a meaningful answer!!.
    I suppose you mean after they gave him the children’s answer (because he could not no in advance know that this will be the situation).
    If we choose  to mark the  #of girls as “G” and the number of boys as “B” then we have G+B =612
    Since there are a lot combinations where 0.5G+0.75B = integer number, than the highest number of  oranges will be 3055 (in case of 608 girls and 4 boys), but if we assume than they are almost the same number than in case of 308 girls and 304 boys  he had to buy 2680 oranges and if vise versa 2675

    Moshe Expert Answered on 27th February 2023.
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