Question 1105453
bought x items at a price of $36/x per item.
if she bought x=6 items for $36, the price would have been 36/(x+6)
36/(x+6)+3=(36/x)
multiply everything by x(x+6) to clear fractions
36x+3x^2+18x=36x+216
3x^2+18x-216=0
x^2+6x-72=0
(x+12)(x-6)=0
x=6 items, only positive root. ANSWER
They were $6 each, but had she bought 6 more items for 36, they would have been $36/12=$3 each.