It is known that the price of 1 bottle of ink is equal to the price of 6 pencils.

Then two bottles of ink are the price of 12 pencil.

According to the teacher, buy 4 bottles of ink and 12 pencils * * * and pay 2 1.6 yuan.

There are 12+ 12 = 24 pencils, which is 2 1.6 yuan.

So the price of the pencil is 2 1.6 ÷ 24 = 0.9 yuan.

Then the ink price is 0.9 * 6 = 5.4 yuan.