A shopkeeper has a special where you buy four handkerchiefs, five pairs of socks, and two towels for one price. 65 specials were sold and the total sales of the specials are $2,145. what is the average price of each item in the special?

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Average price of item  = $33

Step-by-step explanation:

Average price of item = 2145/65 = $33

The average cost of a single item in the special is $3

Step-by-step explanation:

From the question, one special is a package that contains four handkerchiefs, five pairs of socks and two towels. This special with all the constituents are sold for one price.

Now, if a total of 65 specials were sold and the total amount realized or gotten after selling the 65 specials is $2,145 , we are therefore required to calculate the average price of each item in the special.

Before we can calculate this, we must first determine/calculate the price of one special. Since the 65 specials were sold for $2,145 then the price of one special is:-

65 specials $2,145

1 special $?

= 1/65 × 2,145

= 2,145/65

= $33

This means that the cost of one special is $33.

Now, recall that one special contains 4 handkerchiefs + 5 pairs of socks + 2 towels. If we treat a pair of socks as a single item, then the total number of items in a special is 4 + 5 + 2 = 11.

The average price of each item in the special is therefore the total cost of the items in the special divided by the number of items in the special.

That is: $33/11 = $3.

So, the average cost of each item is $3

irrational, cannot