select the correct answer.\npedro owns a shrimp truck near the beach. he sells garlic shrimp for $8 a plate…

select the correct answer.\npedro owns a shrimp truck near the beach. he sells garlic shrimp for $8 a plate and spicy shrimp for $6 a plate. each day pedro stocks enough shrimp to sell at most 120 plates total, but he would like to earn at least $800.\nwhich combination of garlic shrimp plates and spicy shrimp plates can pedro sell to meet his goal?\n○ a. 15 garlic shrimp plates and 110 spicy shrimp plates\n○ b. 80 garlic shrimp plates and 20 spicy shrimp plates\n○ c. 90 garlic shrimp plates and 25 spicy shrimp plates\n○ d. 70 garlic shrimp plates and 55 spicy shrimp plates

select the correct answer.\npedro owns a shrimp truck near the beach. he sells garlic shrimp for $8 a plate and spicy shrimp for $6 a plate. each day pedro stocks enough shrimp to sell at most 120 plates total, but he would like to earn at least $800.\nwhich combination of garlic shrimp plates and spicy shrimp plates can pedro sell to meet his goal?\n○ a. 15 garlic shrimp plates and 110 spicy shrimp plates\n○ b. 80 garlic shrimp plates and 20 spicy shrimp plates\n○ c. 90 garlic shrimp plates and 25 spicy shrimp plates\n○ d. 70 garlic shrimp plates and 55 spicy shrimp plates

Answer

Answer:

B. 80 garlic shrimp plates and 20 spicy shrimp plates

Explanation:

Step1: Calculate total number of plates for option A

$15 + 110=125>120$ (exceeds stock - limit, not valid)

Step2: Calculate total number of plates for option B

$80 + 20 = 100\leq120$ Calculate total earnings for option B $8\times80+6\times20=640 + 120=760<800$ (does not meet earnings - goal, not valid)

Step3: Calculate total number of plates for option C

$90+25 = 115\leq120$ Calculate total earnings for option C $8\times90+6\times25=720+150 = 870\geq800$ (meets both conditions)

Step4: Calculate total number of plates for option D

$70 + 55=125>120$ (exceeds stock - limit, not valid)