Question

soda cost three dollars each popcorn cost four dollars per bag Shauna bought seven things from the concession and spent a total of $26 write a number and salve for the total number of sodas and popcorn Shauna bought

Answer 1

`3s+4p=26`

`s+p=7`

2 sodas and 5 popcorn bags

Explanation:

Let
`s` be the number of sodas Shauna bought, and
`p` be the number of popcorn bags. We know that each soda costs $3 and each popcorn bag costs $4, and the total amount she spend is $26; thus we have:

`3s+4p=26`

And since Shauna bought 7 things, we have:

`s+p =7`

Thus we have two equations, and we solve them by first solving for p in the second equation and substituting that value onto the first equation:

`p=7-s`

put this into the first equation and get:

`3s+4(7-s)=26`

`3s+28-4s=26`

`s=2`

So Shauna bought 2 sodas.

Putting this value into
`s+p=7`

we get

`p=5`

Shauna bought 5 popcorn bags.