Step 1: Understand the Problem We are told: There are ducks and pigs in a field. Together they total 35 animals. Ducks have 2 legs, pigs have 4 legs, and the total number of legs is 98. We need to find the number of ducks and pigs. --- Step 2: Devise a Plan This is a classic system of equations problem. Let: number of ducks number of pigs We know: 1. 2. We can solve this system using substitution or elimination. --- Step 3: Carry Out the Plan From equation (1): d = 35 - p Substitute into equation (2): 2(35 - p) + 4p = 98 70 - 2p + 4p = 98 70 + 2p = 98 2p = 28 p = 14 Now substitute back: d = 35 - 14 = 21 So: Ducks = 21 Pigs = 14 --- Step 4: Look Back (Check the Solution) Check total animals: 21 + 14 = 35 \quad \checkmark (21 \times 2) + (14 \times 4) = 42 + 56 = 98 \quad \checkmark The solution is correct. --- Final Answer: There are 21 ducks and 14 pigs in the field. make this simple