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: Calculate the number of cupcakes in the first row. The first row has (2)/(3) of the total 18 cupcakes. Cupcakes in first row = (2)/(3) × 18 Cupcakes in first row = 2 × (18)/(3) Cupcakes in first row = 2 × 6 Cupcakes in first row = 12 Step 2: Calculate the number of cupcakes in the second row. The second row has (1)/(4) of the total 18 cupcakes. Cupcakes in second row = (1)/(4) × 18 Cupcakes in second row = (18)/(4) Cupcakes in second row = 4.5 Since cupcakes cannot be in halves, there might be an issue with the problem statement or an assumption that the number of cupcakes must be whole. However, following the calculation directly: Step 3: Calculate the number of cupcakes in the third row. The total number of cupcakes is 18. The number of cupcakes in the third row is the total minus the cupcakes in the first and second rows. Cupcakes in third row = Total cupcakes - Cupcakes in first row - Cupcakes in second row Cupcakes in third row = 18 - 12 - 4.5 Cupcakes in third row = 6 - 4.5 Cupcakes in third row = 1.5 The number of cupcakes in each row are: First row: 12 cupcakes Second row: 4.5 cupcakes Third row: 1.5 cupcakes