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: Calculate the number of broken eggs. The total number of eggs is 500. The fraction of broken eggs is (3)/(25). Number of broken eggs = (3)/(25) × 500 = 3 × (500)/(25) = 3 × 20 = 60 eggs Step 2: Calculate the number of eggs to be kept for guests. The fraction of eggs for guests is (1)/(5) of the total. Number of eggs for guests = (1)/(5) × 500 = 100 eggs Step 3: Calculate the total number of eggs that cannot be used. Total unusable eggs = Broken eggs + Eggs for guests = 60 + 100 = 160 eggs Step 4: Calculate the number of eggs which can be used. Usable eggs = Total eggs - Total unusable eggs = 500 - 160 = 340 eggs Step 5: Compare the result with the given options. The calculated number of usable eggs is 340, which matches option (c). The final answer is (c) 340. That's 2 down. 3 left today — send the next one.