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10 November, 08:42

A bank teller has some stacks of bills. The total value of the bills in each stack

is $1000. Every stack contains at least one $20 bill, at least one $50 bill, and no

other types of bills. If no two stacks have the same number of $20 bills, what is the

maximum possible number of stacks that the teller could have?

(A) 9 (B) 10 (C) 11 (D) 4 (E) 8

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Answers (1)
  1. 10 November, 12:33
    0
    So since only 20 dollar bills and the other one is a 50

    then

    so we find some combos that will work

    five 20's make 100

    we notice that we can only have 20's in multipules of 5 to make 100's becauause 4 20's makes 80 and 3 20's make 60 and 2 20's make40 and none of those add to 50 evenly to make 100's

    (probably confusing but I hope you understand if you think about it)

    so we have

    5 20's = 100

    10 20's=200

    15 20's=300

    20

    25

    30

    35

    40

    45 20's=900

    50 20's=1000

    so how many multiplules did we have?

    10

    but wait, if we havve 1000 in all 20's we still need at least one 50 so we subtract 100

    900:9

    answe ris 9 stacks

    answer is 9 stacks or A
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