Question

A mail distribution center processes as many as 175000 pieces of mail each day the mail is sent via ground in air each land carrier takes 2000 pieces per load and each air carrier takes 1500 pieces per load the loading equipment is able to handle as many as 150 loads per day let X me the number of loads by land carriers and wybie the number of loads by air carriers which system of inequality represents the situation

Answer 1

Let's assume

x be the number of loads by land carriers

y be the number of loads by air carriers

so, maximum number of loads can be 150

total number of loads =(the number of loads by land carriers)+(the number of loads by air carriers)

so, we get

`x+y\leq 150`

the mail is sent via ground in air each land carrier takes 2000 pieces per load

so, total number of pieces by land =2000x

each air carrier takes 1500 pieces per load the

so, total number of pieces by air =1500y

total number of pieces = (total number of pieces by land)+(total number of pieces by air)

now, we can plug values

total number of pieces =2000x+1500y

A mail distribution center processes as many as 175000 pieces of mail each day

so, we get

`2000x+1500y\leq 175000`

so, we get system of inequality as

`x+y\leq 150`

`2000x+1500y\leq 175000`................Answer