Question

Skylar and her children went into a movie theater and will buy bags of popcorn and pretzels. Each bag of popcorn costs $8 and each pretzel costs $3.25. Skylar has a total of $80 to spend on bags of popcorn and pretzels. Write an inequality that would represent the possible values for the number of bags of popcorn purchased, bb, and the number of pretzels purchased, p.P.

Answer 1

`8b+3.25p\leq 80`

Explanation:

Each bag of popcorn costs $8

Each pretzel costs $3.25.

• The total cost of b bags of popcorn =$8*b=$8b
• The total cost of p pretzels purchased =$3.25*p=$3.25p

Skylar has a total of $80 to spend on both items. This means that she can either spend less than or exactly $80.

i.e Total Cost
`\leq \$80`

Skylar's Total cost on popcorns and pretzels =8b+3.25p

Therefore:

`8b+3.25p\leq 80`

Therefore, an inequality that would represent the possible values for the number of bags of popcorn purchased, b, and the number of pretzels purchased, p will be:

`8b+3.25p\leq 80`