Question

A mail distribution center processes as many as 175,000 pieces of mail each day. The mail is sent via ground and air. Each land carrier 1250 pieces per load. The loading equipment is able to handle as many as 200 loads per day. Let x be the number of loads by land carriers and y the number of loads by air carriers. Which system of inequalities represents this situation? A) 1250x+1500y<=175,000 x+y<=200 B) 1500x+1250y=>175,000 x+y=>200 C) 1500x+1250<=175,000 x+y<=200 D) 1250x+1500y=>175,000 x+y=>200

Answer 1

The total number of mails that is processed by the mail distribution center cannot go beyond 175,000 (because this is the maximum number of mails). Therefore, the first equation that can be generated from the given scenario is,
                                   1250x + 1500y ≤ 175000
Also, since the maximum number of loads per day can only be 200, the second equation would be,
                                          x + y ≤ 200
Therefore, the answer to this item is letter A.