Question

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

An online boutique is having a special on personalized baby items. On Monday, they sold 5 personalized baby blankets and 13 personalized hooded towels, for a total of $444 in receipts. The following day, they received orders for 23 personalized baby blankets and 13 personalized hooded towels, which brought in a total of $966. How much does each item sell for?

Blankets sell for $____ a piece, and hooded towels sell for $_____a piece.

Answer 1

Blankets sell for $29 a piece, and hooded towels sell for $23 a piece.

Explanation:

blanket = x

towel = y

5x + 13y = 444 -> x=(444-13y)/5

23x + 13y = 966

23[(443-13y)/5] +13y = 966

x = 29

y = 23