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: Determine the fraction of money spent on food. Let the total pocket money be P. Ade spent (1)/(2) of his pocket money on food. Amount spent on food = (1)/(2)P. Step 2: Calculate the remainder after buying food. The remainder is the total pocket money minus the amount spent on food. Remainder = P - (1)/(2)P = (1)/(2)P. Step 3: Determine the fraction of money spent on comics. Ade spent (1)/(4) of the remainder on comics. Amount spent on comics = (1)/(4) × ((1)/(2)P) = (1)/(8)P. Step 4: Calculate the fraction of money left. The money left is the remainder after food minus the amount spent on comics. Money left = (1)/(2)P - (1)/(8)P. To subtract these fractions, find a common denominator, which is 8. (4)/(8)P - (1)/(8)P = (3)/(8)P Step 5: Solve for the total pocket money. We are given that Ade had N15 left. So, we set the fraction of money left equal to N15: (3)/(8)P = 15 To find P, multiply both sides by (8)/(3): P = 15 × (8)/(3) P = (15 × 8)/(3) P = 5 × 8 P = 40 The total pocket money was N40.00. Step 6: Compare the result with the given options. The calculated pocket money is N40.00, which corresponds to option D. The final answer is D. N40.00. That's 2 down. 3 left today — send the next one.