Question

Ballpoint pens cost $1.50 a dozen for the first 200 dozen a store buys from a wholesaler and $1.25 a dozen for those bought in addition to the first 200 dozen. If the store buys 250 dozen pens from the wholesaler, then what is the average cost of ballpoint pens per dozen.

Answer 1

Answer-

The average cost of ballpoint pens per dozen is $1.45

Solution-

Ballpoint pens cost $1.50 a dozen for the first 200 dozen and $1.25 a dozen for those bought in addition to the first 200 dozen.

The store wants to buy 250 dozens of pen.

Cost of 200 dozens = 1.50 × 200 = $300

Cost of 500 dozens after 200 dozens = 1.25 × 50 = $62.5

Total cost = 300 + 62.5 = $362.5

Now,

$\text{average cost}=\frac{\text{total cost}}{\text{total dozen of pens}} =\frac{362.5}{250}=\ 1.45$

Therefore, the average cost of ballpoint pens per dozen is $1.45