A shop owner bought some shovels for $5,500. the shovels were sold for $7,300, with a profit of $50 per shovels. How many shovels were involved?

Let n = the number of shovels.

Total selling price = $7,300

Total cost = $5,500

Total profit = $7300 - 5500 = $1,800

Because the profit is $50 per shovel, therefore the total profit is $50*n.

That is,

50n = 1800

n = 1800/50 = 36

Answer: 36