Question 839004
When you want to know the percent or fraction of a number you always multiply.

SO!  When Amy grabbed 3/7 of the candy, she had 48 pieces.  This means that 3/7 of a certain number is 48.  If we say "x" is the unknown, then we know this applies:

3/7(x) = 48  Now we solve.  Multiply both sides by 7 and we get:
3x = 336  Divide both sides by 3 and we get:
x = 112.

THEREFORE, originally there were 112 pieces of candy in the pinata.  Now all those pieces of candy must be distributed between Amy and her six friends.  There are 7 people in all, so we divide 112 by 7 and we get:

16