SOLUTION: This one is a application problem. I am unsure what formula to use to solve. It reads: A carpenter purchased 60ft of redwood and 80ft of pine for a total cost of $286. A

Question 263148: This one is a application problem. I am unsure what formula to use to solve. It reads:
A carpenter purchased 60ft of redwood and 80ft of pine for a total cost of $286. A second purchase, at the same price, included 100ft of redwood and 60ft of pine for a total cost of $396. Find the cost per foot of redwood and of pine.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
This requires a system of equations as follows
(i)
(ii)
step 1 - divide (i) by 2, and divide (ii) by 4 to get
(iii)
(iv)
multiply (iii) by 3 and multiply (iv) by -8 to get
(v)
(vi)
add (v) and (vi) to get
(vii)
solve for r as

and then we find p as

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