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
Step 1: Define variables and set up equations. Let m be the number of maths books. Let c be the number of computing books. From the problem, we have two pieces of information that can be translated into equations: 1. The total number of books bought is 12. m + c = 12 (1) 2. The total cost of the books is K230. Maths books cost K15 each, and computing books cost K25 each. 15m + 25c = 230 (2) Step 2: Solve the system of equations using substitution. From equation (1), express m in terms of c: m = 12 - c (3) Substitute this expression for m into equation (2): 15(12 - c) + 25c = 230 Step 3: Simplify and solve for c. Distribute the 15: 180 - 15c + 25c = 230 Combine the terms with c: 180 + 10c = 230 Subtract 180 from both sides: 10c = 230 - 180 10c = 50 Divide by 10 to find c: c = (50)/(10) c = 5 Step 4: Substitute the value of c back into equation (3) to find m. m = 12 - c m = 12 - 5 m = 7 Step 5: State the final answer. The student bought 7 maths books and 5 computing books. The student bought: 7 maths books 5 computing books That's 2 down. 3 left today — send the next one.