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Problem 659

AMC 10/12, early questions

Combinatorics Difficulty 3.0 Find the answer UKMT Grey Kangaroo · United Kingdom · 2019

A train is made up of 18 carriages. There are 700 passengers travelling on the train. In any block of five adjacent carriages, there are 199 passengers in total. How many passengers in total are in the middle two carriages of the train?

(A) $70$ (B) $77$ (C) $78$ (D) $96$ (E) $103$

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