36. Buying and Selling Land Roger bought two plots of land for a total of $120,000. When he sold the first plot, he made a profit of 15%. When he sold the second, he lost 10%. His total profit was $5500. How much did he pay for each piece of land? Rate of Profit Land Price Return (%) (or Loss) 15% 120,000 – x 10% 37. Retirement Planning In planning her retirement, Janet deposits some money at 2.5% interest, with twice as much deposited at 3%. Find the amount deposited at each rate if the total annual interest income is $850. 38. Investing a Building Fund A church building fund has invested some money in two ways: part of the money at 3% interest and four times as much at 2.75%. Find the amount invested at each rate if the total annual income from interest is $2800. 39. Lottery Winnings Linda won $200,000 in a state lottery. She first paid income tax of 30% on the winnings. She invested some of the rest at 1.5% and some at 490, earning $4350 interest per year. How much did she invest at each rate? ite 40. Cookbook Royalties Becky earned $48,000 from royalties on her cookbook. Sie paid a 28% income tax on these royalties. The balance was invested in two ways, some of it at 3.25% interest and some at 1.75%. The investments produced $904.60 interest per year. Find the amount invested at each rate. (Modeling) Solve each problem. See Examples 5 and 6. 141. Warehouse Club Membership If the annual fee for a warehouse club membership is $100 and the reward rate is 2% on club purchases for the year, then the linear equation y = 100 – 0.02.x models the actual annual cost of the membership y, in dollars. Here x represents the annual amount of club purchases, also in dollars. (a) Determine the actual annual cost of the membership if club purchases for the year are $2400. (b) What amount of club purchases would reduce the actual annual cost of the mem- bership to $50? (c) How much would a member have to spend in annual club purchases to reduce the annual membership cost to $0?