(a) An open rectangular tank is made of a steel plate of area 1440. Its length is twice its width . If the depth of the tank is 4m less than its width, find its length. (b) A man saved N3,000 in a bank P, whose interest rate was x% per annum and N2,000 in another bank Q whose interest rate was y% per annum. His total interest in one year was N640. If he had saved N2,000 in P and N3,000 in Q for the same period, he would have gained N20 as additional interest. Find the values of x and y.
Explanation
(a) Width = x m; Length = 2x m; Height = (x - 4) m. Total surface area = 2Lh + WL + 2Wh = = = = = Length = 2(15m) = 30m. (b) To eliminate x , multiply (1) by 2 and (2) by 3. (2) - (1) : .