Half as many as the first plant is 24/2=<<24/2=12>>12 tomatoes.
But the second plant produced 5 more than half as many tomatoes as the first plant., or a total of 12+5=<<12+5=17>>17 tomatoes.
And the third plant produced two more tomatoes than the second plant, or 17+2=<<17+2=19>>19 tomatoes.
In total, the three plants produced 24+17+19=<<24+17+19=60>>60 tomatoes.
#### 60