To raise money to attend boy scout camp, alec is selling popcorn. small bags of popcorn sell for $4 each and large bags sell for $6 each. he needs to earn at least $300 to attend camp. he will also earn a badge if he sells at least 60 bags total of any combination. write a system of linear inequalities to represent this situation, then graph

Let's assume

number of small bags of popcorn =x

number of large bags of popcorn =y

He will also earn a badge if he sells at least 60 bags total of any combination

so, we get

Small bags of popcorn sell for $4 each

so, total price of small bags of popcorn =4x

large bags sell for $6 each

so, total price of large bags of popcorn =6x

He needs to earn at least $300 to attend camp

so, we get

we know that quantities can never be negative

so, we get

so, we get system of inequalities as

Graph:

35-60 students are taking math.