It is known that 1 basketball and 2 footballs need 60.20 yuan, and if you buy 3 basketballs and 6 footballs, you need to pay 3× 60.20 = 180.60 yuan.

However, it is known that it costs 164.90 yuan to buy three basketballs and five footballs, so 1 80.60-164.90 =15.70 yuan for one football and 31..

From 1 basketball and two footballs * * to 60.20 yuan, 1 basketball costs 60.20-3 1.40 = 28.8 yuan.

Answer: It costs 28.8 yuan to buy a basketball and 15.7 yuan to buy a football.