She bought 10-4=<<10-4=6>>6 adult tickets
So 6*30=$<<6*30=180>>180 was the cost for adult tickets
Children tickets cost 30/2=$<<30/2=15>>15 each
So the children tickets cost 15*4=$<<15*4=60>>60
So the total cost of tickets is 60+180=$<<60+180=240>>240
They get a 240*.2=$<<240*.2=48>>48 discount
So the tickets cost 240-48=$<<240-48=192>>192
So in total she paid 192+5=$<<192+5=197>>197
#### 197