If each person eats only half of the amount they ate originally every day, after 7 days how much chocolate will each person have left?
To solve this problem, we can break it down into smaller steps.
Step 1: Determine the starting amount of chocolate each person has. Let's assume each person starts with 100 grams of chocolate.
Step 2: Calculate the amount of chocolate each person will have after each day.
- Day 1: Each person eats half of the original amount, so they will have 100 / 2 = 50 grams left.
- Day 2: Again, each person eats half of the remaining amount from the previous day. So, they will have 50 / 2 = 25 grams left.
- Day 3: Continuing the same pattern, each person will have 25 / 2 = 12.5 grams left.
- Day 4: Each person eats half of what they had on the previous day, so they will have 12.5 / 2 = 6.25 grams remaining.
- Day 5: Each person eats half of the previous day's amount, resulting in 6.25 / 2 = 3.125 grams left.
- Day 6: Following the same pattern, each person will have 3.125 / 2 = 1.5625 grams remaining.
- Day 7: Finally, each person eats half of their chocolate again, leaving them with 1.5625 / 2 = 0.78125 grams.
Step 3: By the end of 7 days, each person will have approximately 0.78125 grams of chocolate remaining.
Please note that these calculations assume the chocolate can be divided infinitely. In practice, it might not be possible to have such precise measurements, but this calculation gives you an approximate idea of the amount remaining after each day.