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
Here's the breakdown of the problem: Initially, there is enough food for 18 people for 10 days. After 2 days, 6 people leave. Step 1: Determine the initial conditions and changes. Initial number of people (P_1) = 18 Initial duration of food (D_1) = 10 days Days passed (D_p) = 2 days Number of people who left (P_L) = 6 Step 2: Calculate the decrease in the number of people. This directly answers part (a). The decrease in the number of people is the number of people who left. Decrease in people = P_L = 6 people a) The decrease in the number of people is 6 people. Step 3: Calculate the remaining number of people. After 6 people left, the number of remaining people (P_2) is: P_2 = P_1 - P_L = 18 - 6 = 12 people Step 4: Calculate the total food for the remaining 7 days. Part (b) asks for the total food for the remaining 7 days. This refers to the amount of food (in person-days) that the remaining 12 people would consume over a period of 7 days. Food for 7 days = P_2 × 7 days = 12 people × 7 days = 84 person-days b) The total food for the remaining 7 days is 84 person-days. Send me the next one 📸