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

The system of linear inequalities to represent the situation :

x+y = 60

4x+6y≥300

Step-by-step explanation:

We are given that :

Cost of one small popcorn bag is $4

Cost of one large popcorn bag $6

Let no. of small popcorn bags Alec sold be x

Let no. of large  popcorn bags Alec sold be y

Cost of x small popcorn bag is $4x

Cost of y large popcorn bag $6y

Since she sold total 60 bags .

So, equation becomes:

x+y = 60  --(a)

Since she had to earn at least $300.

So, equation becomes:

4x+6y≥300  --(b)

Thus the system of linear inequalities to represent the situation :

x+y = 60

4x+6y≥300

10 * 563.67 = 5636.7