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: Define the variable. Let d represent the distance between the two cities in kilometers. Step 2: Translate the given statement into a mathematical equation. "One-fourth of the distance between two cities" can be written as (1)/(4)d. "two-thirds the distance between the cities" can be written as (2)/(3)d. The phrase "is 100 kilometers less than" means that (1)/(4)d is equal to (2)/(3)d minus 100. So, the equation is: (1)/(4)d = (2)/(3)d - 100 Step 3: Compare the derived equation with the given options. The equation (1)/(4)d = (2)/(3)d - 100 matches option C. The final answer is C. (1)/(4)d = (2)/(3)d - 100. Send me the next one 📸