How Many Mangoes?

mango puzzle
A girl was selling mangoes. To the first customer she sold half of her mangoes plus 1 mango free, and to the second customer she sold half of the remaining mangoes plus 2 mangoes free and to the third person she sold half of the remaining mangoes plus 3 mangoes free. This left her with two mangoes.

If so, how many mangoes did she start with?

Answer:

4 comments:

  1. She has 50 mangoes in total. She gives its half plus 1 mangoes to 1st customer(26mangoes). Now she has 24 mangoes remaining with her. Then she gives its half plus 2 mangoes to the 2nd customer(14mangoes). From the remaining 10 mangoes, she gives its half plus 3 mangoes to 3rd customer(8mangoes). Now she has 2 mangoes remaining.(50-26-14-8=2)

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  2. total 50 mangoes
    Let 'n' be the total amount of mangoes then
    n=[(n+2)/2]+[(n+6)/4]+[(n+22)/8]+2

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  3. its 50
    1st person take =25+1=26
    second take 12+2=14
    third take 5+3=8
    she left 2
    so 26+14+8+2=50

    ReplyDelete