1

Part of 2017 Regional Olympiad of Mexico West

Problems(1)

min nof of coins for 2017 pesos if banks gices only n^3 pesos

Source: Mathematics Regional Olympiad of Mexico West 2017 P1

The Occidentalia bank issues coins with denominations of

1

8

27

pesos... and any amount that is a perfect cube (

n^3

) of pesos. Determine what is the least amount

k

of coins needed to give

2017

pesos. For that amount, find all the possible ways to give

2017

pesos using exactly

k