An online boutique is having a special on personalized baby items. On Monday, they sold 24 personalized baby blankets and 25 personalized hooded towels, for a total of $1,390 in receipts. The following day, they received orders for 24 personalized baby blankets and 20 personalized hooded towels, which brought in a total of $1,280. How much does each item sell for?
Let B be the price of a personalized baby blanket and H be the price of a personalized hooded towel.
From the first transaction, we know that 24B + 25H = 1390.
From the second transaction, we know that 24B + 20H = 1280.
Multiplying both sides of the equation 24B + 25H = 1390 by 20 and 24B + 20H = 1280 by 25, we get 480B + 500H = 27800 and 600B + 500H = 32000.
Subtracting the second equation from the first, we get 120B = -4200.
Dividing both sides of the equation by 120, we get B = -35.
Substituting the value of B in the equation 24B + 25H = 1390, we get 24 * -35 + 25H = 1390.
Subtracting 840 from both sides of the equation, we get 25H = 550.
Dividing both sides of the equation by 25, we get H = <<22=22>>22.
The price of a personalized baby blanket is $35 and the price of a personalized hooded towel is $22. Answer: \boxed{35, 22}.