Bag of peanuts

Joe eats 1/3 of a bag of peanuts, Mark eats 1/4 of the remaining peanuts, Alvin eats 1/2 of what remains after Mark, Peter eats 10 peanuts, and 71 peanuts are left. How many peanuts were in the bag originally?

Final Answer:

n =  324

Step-by-step explanation:


n/3 + 1/4 · (n-n/3) + 1/2·(n-(n/3 + 1/4 · (n-n/3))) + 10 + 71 = n

3n = 972


n = 972/3 = 324

n = 324

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