Question

A group of 40 people went to the theme park. While there, each person bought popcorn. Regular bags of popcorn sold for $6 per bag. Super size sold for $8 per bag. The group's popcorn bill was $286.

Answer 1

17 regular popcorn bags and 23 super size bags.

Explanation:

A group of 40 people went to the theme park. While there, each person bought popcorn.

Let the regular popcorn bags be = x

Let the super size bags be = y

`x+y=40` ................(1)

Next equation becomes:

`6x+8y=286` ...............(2)

Multiplying (1) by 6 :
`6x+6y=240`

Now subtracting this from (2) we get,

`2y=46`

=> y = 23

And x =
`40-23`

=> x = 17

So, there were 17 regular popcorn bags and 23 super size bags that the group bought.