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121 balls are placed in group of 7and 5 in basket.how many baskets 0f 7 were there?

  • math -

    An obvious solution would be
    7*3+5*20=121
    Consequently, change 5*7 for 7*5 gives
    7*(3+5)+5*(20-7)=7*8+5*13=121
    Similarly,
    7*(8+5)+5*(13-7)=7*13+5*6=121
    We cannot go further because number of baskets for groups of 5 will be negative.

    So possible values for baskets of 7 are:
    3,8,13

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