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: Identify all regions that are part of the set of students who take Cocacola (C). From the previous steps, we have the following expressions for the regions within the Cocacola circle: • Students who take Cocacola only (C only): m+3 • Students who take Cocacola and Fanta only (C F only): 9 • Students who take Cocacola and Sprite only (C S only): 5 • Students who take all three drinks (C F S): 7 Step 2: Sum the number of students in these regions to find the total number of students who take Cocacola. Number of students who take Cocacola = (C only) + (C F only) + (C S only) + (C F S) Number of students who take Cocacola = (m+3) + 9 + 5 + 7 Step 3: Simplify the expression. Number of students who take Cocacola = m + (3 + 9 + 5 + 7) Number of students who take Cocacola = m + 24 Based on the information provided, the value of m is not uniquely determined. However, we know that m must be an integer such that 0 m 6 for all student counts to be non-negative. The number of students who take Cocacola is m+24. What's next?