dwayne is selling hamburgers and cheeseburgers. he has 100 burger buns. each hamburger sells for $3, and…

dwayne is selling hamburgers and cheeseburgers. he has 100 burger buns. each hamburger sells for $3, and each cheeseburger sells for $3.50. which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80?\no h + c ≤ 80\n3h + 3.5c ≤ 100\no h + c ≤ 80\n3h + 3.5c ≥ 100\no h + c ≤ 100\n3h + 3.5c ≤ 80\no h + c ≤ 100\n3h + 3.5c ≥ 80

dwayne is selling hamburgers and cheeseburgers. he has 100 burger buns. each hamburger sells for $3, and each cheeseburger sells for $3.50. which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80?\no h + c ≤ 80\n3h + 3.5c ≤ 100\no h + c ≤ 80\n3h + 3.5c ≥ 100\no h + c ≤ 100\n3h + 3.5c ≤ 80\no h + c ≤ 100\n3h + 3.5c ≥ 80

Answer

Explanation:

Step1: Analyze bun - quantity constraint

He has 100 burger buns. The total number of hamburgers (h) and cheeseburgers (c) cannot exceed the number of buns. So, (h + c\leq100).

Step2: Analyze sales - amount constraint

Each hamburger sells for $3 and each cheeseburger sells for $3.50. He wants sales of at least $80. So the total sales amount (3h + 3.5c) must be greater than or equal to 80, i.e., (3h+3.5c\geq80).

Answer:

(h + c\leq100), (3h + 3.5c\geq80) (the last option in the multiple - choice list)