Grey squirrel hid some hazelnuts under the stump, and twice as many in tree hollow?

Black squirrel discovered both hiding places and stole two hazelnuts from each place. Now there are three times as many hazelnuts in the tree hollow than under the stump.





How many hazelnuts did grey squirrel hide in each place?Grey squirrel hid some hazelnuts under the stump, and twice as many in tree hollow?
s=# under stump, h=# in hollow


h = 2s


(h-2) = 3(s-2)





2s-2 = 3(s -2)


2s - 2 = 3s - 6


4 = s, so h = 2*4 = 8Grey squirrel hid some hazelnuts under the stump, and twice as many in tree hollow?
Assume x is the number of hazel nutes in the stump and y is the number in the tree hollow.


2x=y.


3(x-2)=y-2


3x-6=y-2.


Subtract the first equation and the second equation


3x-6=y-2.


2x=y.


x-6=-2.


Add 6 to each side.


x=4. 4*2=8.


4 hazelnuts under the stump and 8 in the tree hollow
s=nuts in stump


t=nuts in tree hollow





The two equations are:


2s=t


t-2=3(s-2)





So substitute 2s=t into the second equation to make it become:


2s-2=3(s-2)


2s-2=3s-6


6-2=3s-2s


4=s





s=4 and since the tree stump contains twice as much nuts, t=8.





Therefore there were 4 hazelnuts in the stump and 8 in the tree stump.

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