2000 AMC 10 Problem 17AMC 10 Step by Step
Name: Date: September 13, 2026
Modular Arithmetic · difficulty 3 of 5 · about 3 min · position P16-20
Boris has an incredible coin-changing machine. When he puts in a quarter, it returns five nickels; when he puts in a nickel, it returns five pennies; and when he puts in a penny, it returns five quarters. Boris starts with just one penny. Which of the following amounts could Boris have after using the machine repeatedly?
- A)
$3.63
- B)
$5.13
- C)
$6.30
- D)
$7.45
- E)
$9.07