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\na. 15 garlic shrimp plates and 110 spicy shrimp plates\nb. 80 garlic shrimp plates and 20 spicy shrimp plates\nc. 90 garlic shrimp plates and 25 spicy shrimp plates\nd. 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\na. 15 garlic shrimp plates and 110 spicy shrimp plates\nb. 80 garlic shrimp plates and 20 spicy shrimp plates\nc. 90 garlic shrimp plates and 25 spicy shrimp plates\nd. 70 garlic shrimp plates and 55 spicy shrimp plates

Answer

Explanation:

Step1: Set up inequalities

Let $x$ be the number of garlic - shrimp plates and $y$ be the number of spicy - shrimp plates. We have two inequalities: $x + y\leq120$ (stock limit) and $8x + 6y\geq800$ (earning goal).

Step2: Check option A

For $x = 15$ and $y = 110$, $x + y=15 + 110=125>120$, so it doesn't meet the stock - limit condition.

Step3: Check option B

For $x = 80$ and $y = 20$, $x + y=80 + 20 = 100\leq120$, and $8x+6y=8\times80 + 6\times20=640+120 = 760<800$, so it doesn't meet the earning - goal condition.

Step4: Check option C

For $x = 90$ and $y = 25$, $x + y=90 + 25=115\leq120$, and $8x + 6y=8\times90+6\times25=720 + 150=870\geq800$. It meets both conditions.

Step5: Check option D

For $x = 70$ and $y = 55$, $x + y=70 + 55 = 125>120$, so it doesn't meet the stock - limit condition.

Answer:

C. 90 garlic shrimp plates and 25 spicy shrimp plates