Katie wants to buy some popcorn for her family at the theater. each small tub of popcorn costs $3 and each large tub of popcorn costs $4. she needs to buy at least 7 tubs of popcorn, but she only has $24 in her wallet.

For this case we propose a system of equations:

x: Represents the amount of small popcorn tubs

y: Represents the amount of large popcorn tubs

According to the data we have to:

(Spending all the money in your wallet)

(Buying 7 popcorn tubs)

From the second equation we have:

Substituting in the first equation:

Thus, Katie can buy 3 large tubs of popcorn.

So:

In addition, you can buy 4 small tubs of popcorn.

3 large popcorn tubs.

4 small popcorn tubs.

step-by-step explanation: