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# Ham and Roast Beef

SATMAT-IVEVYK

A total of $418$ ham and roast beef sandwiches were ordered at a restaurant over the course of two days. The manager made a report detailing exactly the number of each type of sandwich ordered.

Unfortunately, the report was damaged, and only the following details are known: $209$ orders were for ham with cheese, $177$ orders were for roast beef (some with cheese, and some without cheese), and a total of $122$ orders altogether were for sandwiches without cheese.

Which of the following is a correct conclusion based on the known data?

(Calculator)

A

Sandwiches containing ham were ordered more than twice as often as those containing roast beef.

B

More than half of all of the roast beef sandwiches ordered were ordered "without cheese".

C

Half of the sandwiches ordered contained ham.

D

Over $100$ roast beef sandwiches with cheese were ordered.