A local charity held a crafts fair selling donated, handmade items. Total proceeds from the sale were $1,950. A total of 150 items were sold, some at $5 each and the rest at $25 each.

How many items were sold at $25?

Let x be the number of $5 items sold.

Let y be the number of $25 items sold.

x + y = 150

x = 150 - y ... (1)

5x + 25y = 1950 ... (2)

Plugging the expression for x from (1) into (2), we get:

5 (150 - y) + 25y = 1950

750 - 5y + 25y = 1950

20y = 1200

y = 60 items.

The answer is, there were 60 items sold at $25.