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2006 AMC 10B Problem 22

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2006 AMC 10B Problem 22AMC 10 Step by Step
Name:                             Date: September 13, 2026
Diophantine Equations · difficulty 4 of 5 · about 5 min · position P21-25

Elmo makes NN sandwiches for a fundraiser. For each sandwich he uses BB globs of peanut butter at 4¢4\cent per glob and JJ blobs of jam at 5¢5\cent per blob. The cost of the peanut butter and jam to make all the sandwiches is $2.53\$ 2.53 . Assume that BB , JJ , and NN are positive integers with N>1N>1 . What is the cost of the jam Elmo uses to make the sandwiches?

  1. A)

    $ 1.05

  2. B)

    $ 1.25

  3. C)

    $ 1.45

  4. D)

    $ 1.65

  5. E)

    $ 1.85

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