Respuesta :
Answer
[tex]150[/tex] pounds of hamburgers and [tex]60[/tex] pounds of hot dogs
Step by step explanation
Let
x------> the pounds of hamburgers
y-----> the pounds of hot dogs
we know that
[tex]3x+2y\leq 600[/tex] -----> inequality that represent the situationRemember that
If a ordered pair is a solution of the inequality
then
the ordered pair must satisfy the inequality
Verify each case
case A) [tex](200,140)[/tex]
substitute the value of x and the value of y in the inequality
[tex]3(200)+2(140)\leq 600[/tex]
[tex]880\leq 600[/tex] ------> is not true
case A) is not a solution
case B) [tex](150,60)[/tex]
substitute the value of x and the value of y in the inequality
[tex]3(150)+2(60)\leq 600[/tex]
[tex]570\leq 600[/tex] ------> is true
case B) is a solution
case C) [tex](100,240)[/tex]
substitute the value of x and the value of y in the inequality
[tex]3(100)+2(240)\leq 600[/tex]
[tex]780\leq 600[/tex] ------> is not true
case C) is not a solution
case D) [tex](240,40)[/tex]
substitute the value of x and the value of y in the inequality
[tex]3(240)+2(40)\leq 600[/tex]
[tex]800\leq 600[/tex] ------> is not true
case D) is not a solution