On the morning of the sale the store donated 50 pairs of shoes to a homeless shelter. then they sold 64% of their remaining inventory during the sell. if the store had 288 pair after the donation and the sell how many pairs of shoes did they have at the star

To find the number of shoes the store had at the start, you will write the problem out and then work backward through this problem to solve for x, the starting amount.

If 64% of their inventory was sold, then 36% was not.

0.36x - 50) = 288; divide by 0.36 on both sides
x - 50 = 800; add 50 to both sides
x = 850

The store started with 850 pairs of shoes.