A tree increases its number of nuts at the rate of 100% every year. What was the number of nuts 5 years ago, if this year it gave 3,200 nuts? A)500 nuts B)100 nuts C)320 nuts D)640 nuts

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Understand the problem: Understand the problem. We need to find the original number of nuts on the tree 5 years ago, given that the number of nuts doubles every year (100% increase). This year, the tree has 3,200 nuts.Work backwards: Work backwards from the current year to find the number of nuts in the previous year. Since the number of nuts doubles each year, we divide the current number of nuts by 2 to find the number of nuts in the previous year. 3,200 nuts ÷ 2 = 1,600 nuts last year.Repeat the process: Repeat the process for each of the previous years. 1,600 nuts ÷ 2 = 800 nuts two years ago. 800 nuts ÷ 2 = 400 nuts three years ago. 400 nuts ÷ 2 = 200 nuts four years ago. 200 nuts ÷ 2 = 100 nuts five years ago.Verify the final result: Verify the final result. If we start with 100 nuts and double them each year for 5 years, we should end up with 3,200 nuts. 100 nuts × 2 = 200 nuts after 1 year. 200 nuts × 2 = 400 nuts after 2 years. 400 nuts × 2 = 800 nuts after 3 years. 800 nuts × 2 = 1,600 nuts after 4 years. 1,600 nuts × 2 = 3,200 nuts after 5 years. This confirms our calculation is correct.

A tree increases its number of nuts at the rate of $100\%$ every year. What was the number of nuts $5$ years ago, if this year it gave $3,200$ nuts? $\newline$ A) $500$ nuts $\newline$ B) $100$ nuts $\newline$ C) $320$ nuts $\newline$ D) $640$ nuts

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A tree increases its number of nuts at the rate of $100\%$ every year. What was the number of nuts $5$ years ago, if this year it gave $3,200$ nuts? $\newline$ A) $500$ nuts $\newline$ B) $100$ nuts $\newline$ C) $320$ nuts $\newline$ D) $640$ nuts