Buttercups 2031

Paul has eight dry mushrooms, 1/2 fewer oaks, and cossacks, five times more than buttercups. Cossacks and buttercups have a total of 3 times more than dry mushrooms. How many mushrooms do they have together? And how many buttercups and how many Cossacks?

Correct answer:

x =  36
m =  4
k =  20

Step-by-step explanation:

s=8  d=s−s/2 k=5 m k+m=3s x=s+d+k+m d=8−8/2 k=5 m k+m=3⋅ 8 x=8+d+k+m  d=8−8/2 k=5⋅ m k+m=3⋅ 8 x=8+d+k+m  2d=8 k−5m=0 k+m=24 d+k+m−x=−8  Row4−21​⋅ Row1→Row4 2d=8 k−5m=0 k+m=24 k+m−x=−12  Row3−Row2→Row3 2d=8 k−5m=0 6m=24 k+m−x=−12  Row4−Row2→Row4 2d=8 k−5m=0 6m=24 6m−x=−12  Row4−Row3→Row4 2d=8 k−5m=0 6m=24 −x=−36  x=−1−36​=36 m=624​=4 k=0+5m=0+5⋅ 4=20 d=28​=4  d=4 k=20 m=4 x=36

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