Question

A grasshopper can jump `80` centimeters forward or `50` centimeters backward. Can the grasshopper move away from its starting point in fewer than `7` jumps to a distance of exactly one meter and `70` cm?

Difficulty level (1 very easy - 10 very hard): 2

Topics:
Arithmetic Number Theory -> Chinese Remainder Theorem Algebra -> Word Problems Proof and Example -> Constructing an Example / Counterexample Combinatorics -> Case Analysis / Checking Cases -> Processes / Procedures Algebra -> Equations -> Diophantine Equations
Mikey V Avatar
Mikey V - 4 years ago
170 = 50 - 50 - 50 - 80 + 80 + 80 + 80

Noam Faibish Avatar
Noam Faibish - 2 years ago
讝讛 诪讛 砖讗谞讬 注砖讬转讬 讘讜诇

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