SOLUTION: how do u solve a typical problem like this one A park ranger spent $104 to buy 12 trees.Redwood trees cost$12 each and spruce trees cost$8 each.How many of each tree did the park r

Question 190608: how do u solve a typical problem like this one A park ranger spent $104 to buy 12 trees.Redwood trees cost$12 each and spruce trees cost$8 each.How many of each tree did the park ranger buy?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let
x = # of trees that cost $12

y = # of trees that cost $8

Since he bought 12 trees total, this means that

Also, because "Redwood trees cost$12 each and spruce trees cost$8" and the total came to $104, this tells us that

So we have the system:

Start with the first equation.

Subtract from both sides.

Rearrange the terms.

-------------------------------------------

Now plug in into the second equation.

Distribute.

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So the ranger bought 2 trees that cost $12 a piece.

-------------------------------------------

Since we know that , we can use this to find .

Go back to the first isolated equation.

Plug in .

Combine like terms.

So the ranger bought 10 trees that cost $8 a piece.

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