Fiona and camila took a load of peaches to the farmers market. During the first hour , they sold 1/2 of the peaches plus 1/2 of a peach. In the second hour, they sold 1/3 of the remaining peaches plus 1/3 of a peach. In the third hour , they sold 1/4 of what was left and 3/4 of a peach. During the final hour, they sold 1/5 of the peaches that were left plus 1/5 of a peach. Fiona and camila did not cut any peaches to make a sale, and they returned home with 19 whole peaches. How many peaches did they take to the market?

Starting with x peaches,

a = x-(x/2 + 1/2)
b = a - (a/3 + 1/3)
c = b - (b/4 + 3/4)
c - (c/5 + 1/5) = 19
now start substituting in and you wind up with

x = 101