Question

A mail distribution center processes as many as 150,000 pieces of mail each day. The mail is sent via ground and air. Each land carrier takes 2000 pieces per load and each air carrier 1500 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? Click on the correct answer.

Answer 1

Write the inequality expression for "Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load"
Total mails should not exceed the capability of mail distribution center, that is 150,000 per day. In other words the total mails is less than or equal to 150,000.
2000x + 1500y ≤ 150,000

Write the inequality expression for "The loading equipment is able to handle as many as 200 loads per day"
x + y ≤ 200

The number of loads shouldn't be negative
x ≥ 0
y ≥ 0

SUMMARY
The inequality system for the problem is
2000x + 1500y ≤ 150,000
x + y ≤ 200
x ≥ 0
y ≥ 0