Conservationists 62994

Conservationists planted a total of 695 trees of three species. There were 65 spruces more than pine trees and the first three times less than pines. How many trees of each species were planted?

Correct answer:

s =  335
b =  270
j =  90

Step-by-step explanation:

s+b+j=695 s=65+b j=b/3  b+j+s=695 b−s=−65 b−3j=0  Row2−Row1→Row2 b+j+s=695 −j−2s=−760 b−3j=0  Row3−Row1→Row3 b+j+s=695 −j−2s=−760 −4j−s=−695  Pivot:Row2↔Row3 b+j+s=695 −4j−s=−695 −j−2s=−760  Row3−−4−1​⋅ Row2→Row3 b+j+s=695 −4j−s=−695 −1.75s=−586.25  s=−1.75−586.25​=335 j=−4−695+s​=−4−695+335​=90 b=695−j−s=695−90−335=270  b=270 j=90 s=335

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