Boletus  and cossacks

Paul has 8 dry boletus, 1/2 less oak boletus, 5x more cossacks than butter mushrooms. He has 3x more cossacks and butter mushrooms together than dry boletus. How many mushrooms does he have in total? And how many butter mushrooms 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

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

algebrabasic operations and conceptsGrade of the word problem

Related math problems and questions: