This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Problem (1) Step 1: The container contains an initial volume of 70 L of solution with 250 units of solute. The target total volume is 300 L. Step 2: Let x be the volume of pure water to add (in L). The equation is: 70 + x = 300 Step 3: Solve for x: x = 300 - 70 x = 230 The volume of pure water to add is 230 L. The solute amount remains 250 units. 230 L Problem (2) Step 1: The tap fills at a rate of 1 L in 10 s. The filling rate is: r = 1 L10 s = 0.1 L/s Step 2: Time formula: t = (V)/(r) or equivalently t = 10V (in s, where V in L). For 24 L: t = 10 × 24 = 240 s For 40 L: t = 10 × 40 = 400 s For 58 L: t = 10 × 58 = 580 s For 247 L: t = 10 × 247 = 2470 s 240 s 400 s 580 s 2470 s