1- A carpenter purchased 50 ft of redwood and 70 ft of pine fora total cost of $259. A second purchase, at the same prices,included 80 ft of redwood and 50 ft of pine for a total cost of$340. Find the cost per foot of redwood and of pine.
2- An investment club placed $27,000 into two simple interestaccounts. On one account, the annual simple interest rate is 6.5%.On the other, the annual simple interest rate is 2.5%. How muchshould be invested in each account so that both accounts earn thesame annual interest?
3-Two investments earn an annual income of $422. One investmentearns an annual simple interest rate of 8.9%, and the otherinvestment earns an annual simple interest rate of 6.1%. The totalamount invested is $6000. How much is invested in each account?