Final answer:
By calculating the total cost of all items and subtracting the total cost of the known five items, we find that the price of the sixth item is $28.
Step-by-step explanation:
To find the price of the sixth item, we first calculate the total cost of all six items by multiplying the average price by the number of items. The average price of the items is $30, and there are six items, so the total cost for all items would be 6 × $30 = $180.
We then add together the prices of the known five items: $7, $25, $36, $40, and $44, which equals $152.
To find the price of the sixth item, we subtract the total price of the five items from the overall total cost: $180 - $152 = $28.
Therefore, the price of the sixth item is $28.