An inter-agency task force has representatives from 3 different agencies. Half of the task force members represent agency A, one-third represent agency B and three represent agency C. How many people are on the task force?

Step 1: Define the total number of people on the task force. Let T be the total number of people on the task force. Step 2: Express the number of members from each agency in terms of T. • Agency A: Half of the task force members, which is (1)/(2)T. • Agency B: One-third of the task force members, which is (1)/(3)T. • Agency C: Three members, which is 3. Step 3: Set up an equation for the total number of members. The sum of members from all agencies must equal the total number of members: (1)/(2)T + (1)/(3)T + 3 = T Step 4: Combine the fractional terms. Find a common denominator for (1)/(2) and (1)/(3), which is 6. (3)/(6)T + (2)/(6)T + 3 = T (5)/(6)T + 3 = T Step 5: Solve for T. Subtract (5)/(6)T from both sides of the equation: 3 = T - (5)/(6)T 3 = (6)/(6)T - (5)/(6)T 3 = (1)/(6)T Multiply both sides by 6: T = 3 × 6 T = 18 The total number of people on the task force is 18. This corresponds to option d. The final answer is d. 18. 3 done, 2 left today. You're making progress.