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Math Help - Problem Solving

  1. #1
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    Problem Solving

    Lisa had 60 lollies to share. She gave each of her friends the same number of lollies and had 5 left over for herself. If Lisa had fewer lollies than any of her friends, how many friends did Lisa share her lollies with?
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  2. #2
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    Quote Originally Posted by not happy jan View Post
    Lisa had 60 lollies to share. She gave each of her friends the same number of lollies and had 5 left over for herself. If Lisa had fewer lollies than any of her friends, how many friends did Lisa share her lollies with?
    Let f be the number of friends and n be the number of lollies each one gets.

    Now we know the number of friends multiplyied by how many lollies +5 must equal 60.

    60=f\cdot n+5

    now we subtract 5 from both sides to get

    55=f \cdot n

    We also know that her friends each got more lollies then her so n > 5

    55 has only two factors 55 = 5 \cdot 11

    So n must be 11 and f must be 5.

    So she has five friends and each of them got 11 lollies.

    I hope this helps.
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