Question

The non-profit organization you volunteer for is throwing a fundraiser cookout. You are in charge of buying the hamburgers, which cost $3 per pound, and hot dogs, which cost $2 per pound. The meat budget you are given totals $600 dollars. The inequality 3x + 2y less than or equal to 600 represents the possible combinations of pounds of hamburgers (x) and hot dogs (y) you can buy. graph of the inequality 3 x plus 2 y is less than or equal to 600 Which of the following represents a solution to the inequality? 200 pounds of hamburgers and 140 pounds of hot dogs 150 pounds of hamburgers and 60 pounds of hot dogs 100 pounds of hamburgers and 240 pounds of hot dogs 240 pounds of hamburgers and 40 pounds of hot dogs

Answer 1

150lbs of hamburger and 60 lbs of hot dogs

Answer 2

`150` pounds of hamburgers and
`60` pounds of hot dogs

Step by step explanation

Let

x------> the pounds of hamburgers

y-----> the pounds of hot dogs

we know that

`3x+2y\leq 600` -----> 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)
`(200,140)`

substitute the value of x and the value of y in the inequality

`3(200)+2(140)\leq 600`

`880\leq 600` ------> is not true

case A) is not a solution

case B)
`(150,60)`

substitute the value of x and the value of y in the inequality

`3(150)+2(60)\leq 600`

`570\leq 600` ------> is true

case B) is a solution

case C)
`(100,240)`

substitute the value of x and the value of y in the inequality

`3(100)+2(240)\leq 600`

`780\leq 600` ------> is not true

case C) is not a solution

case D)
`(240,40)`

substitute the value of x and the value of y in the inequality

`3(240)+2(40)\leq 600`

`800\leq 600` ------> is not true

case D) is not a solution