The mass of a tennis ball is 58.5 g. The mass of an empty basket is 350 g. Find the total mass of a basket carrying 20 tennis balls. Give your answer in kilograms.

The total mass of the 20 tennis balls is 20 * 58.5 g = <<20*58.5=1170>>1170 g.

To convert grams to kilograms, we divide by 1000, so the total mass of the tennis balls is 1170 g / 1000 = <<1170/1000=1.17>>1.17 kg.
Adding the mass of the empty basket, the total mass of the basket carrying 20 tennis balls is 1.17 kg + 350 g / 1000 = 1.17 kg + 0.35 kg = 1.52 kg. Answer: \boxed{1.52}.