A mountain range has 200 active volcanoes. In a particular year, 20% of the volcanoes exploded in the first two months, 40% of the remaining exploded by the half of the year, and at the end of the year, another 50% of the volcanoes that hadn't already erupted also exploded. How many mountains are still intact at the end of the year? Let's think step by step and output the final answer after "####".
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By the first two months, 20/100*200 = <<20/100*200=40>>40 mountains had erupted.
The total number of mountains remaining after the first round of explosions is 200-40= <<200-40=160>>160
When 40% of the remaining mountains exploded, the number of mountains that were still intact decreased by 40/100*160 = <<40/100*160=64>>64
The number of mountains that hadn't exploded after the second explosions is 160-64 = <<160-64=96>>96
When 50% of the mountains which were still intact exploded, the number of mountains that hadn't erupted was reduced by 50/100*96 = <<50/100*96=48>>48
At the end of the year, 96-48 = <<96-48=48>>48 mountains remained intact and hadn't exploded.
#### 48
A mountain range has 200 active volcanoes. In a particular year, 20% of the volcanoes exploded in the first two months, 40% of the remaining exploded by the half of the year, and at the end of the year, another 50% of the volcanoes that hadn't already erupted also exploded. How many mountains are still intact at the end of the year?
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