1. ## 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?

2. Originally Posted by not happy jan
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.

$\displaystyle 60=f\cdot n+5$

now we subtract 5 from both sides to get

$\displaystyle 55=f \cdot n$

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

55 has only two factors $\displaystyle 55 = 5 \cdot 11$

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.