You and your family attend your brother’s championship baseball game. Between innings you decide to go to the snack stand. You go to the snack stand with $15 and find that sodas are $2.50 and that popcorn is $3.75. Write an inequality that models the number of sodas you can buy if you get a bag of popcorn too. What is the maximum number of sodas you can buy in this situation?

Question

You and your family attend your brother’s championship baseball game. Between innings you decide to go to the snack stand. You go to the snack stand with $15 and find that sodas are $2.50 and that popcorn is $3.75. Write an inequality that models the number of sodas you can buy if you get a bag of popcorn too. What is the maximum number of sodas you can buy in this situation?

Answer 1

Let's denote the number of sodas as "s" and the number of bags of popcorn as "p".

The cost of sodas is $2.50 each, so the total cost of sodas is 2.50s.
The cost of popcorn is $3.75 per bag.
The total cost of sodas and popcorn together is $15.

We can write the inequality that models the number of sodas we can buy as:
2.50s + 3.75p ≤ 15

To find the maximum number of sodas, we need to maximize the value of "s". Since the cost of the popcorn is greater than the cost of the soda, we can maximize the number of sodas by not purchasing any popcorn. Therefore, the maximum number of sodas we can buy is 0 in this situation.