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 sale. if the store had 288 pairs after the donation and the sale how many pairs of shoes did they have at the start?

Answer 1

Let x be the number of pairs of shoes the store had at the start.

After donating 50 pairs, the store had x - 50 pairs remaining.
After selling 64% of their remaining inventory, the store had 0.36(x - 50) pairs left.

Given that the store had 288 pairs left after the donation and the sale, we can write the following equation:

0.36(x - 50) = 288

Solving for x:

0.36x - 18 = 288
0.36x = 306
x = 850

Therefore, the store had 850 pairs of shoes at the start.