14. Modeling Real Life Your class conducts an egg-dropping experiment. with 60 eggs. Three-fifths of the eggs break open, one-sixth of the eggs crack, and the rest do not break at all. How many of the eggs do not crack or break open?
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In your egg-dropping experiment, you started with 60 eggs. If three-fifths of the eggs break open, that means \( \frac{3}{5} \times 60 = 36 \) eggs are broken. One-sixth of the eggs crack, which is \( \frac{1}{6} \times 60 = 10 \) eggs. So far, you've accounted for 36 (broken) + 10 (cracked) = 46 eggs. Since you began with 60 eggs, the remaining number of eggs that do not crack or break is \( 60 - 46 = 14 \) eggs! Professor Eggster would love to know that your egg-dropping experiment doubles as a lesson in physics and engineering! Students learn about the forces acting on objects, the concept of impact, and how materials can absorb shock. By testing different designs for egg protection, you’re diving deep into the world of prototypes and real-world applications of science! As for those eggs, think about the common mistakes in such experiments—like forgetting to account for the total number of eggs correctly or miscalculating fractions. A fun troubleshooting tip? Keep a checklist of steps! That way, you can confidently track your egg’s fate without any “shell-shocking” surprises!