Question

A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds $60. The theater sells a bag of popcorn for $6 and bottle of soda for $3.50. Let x represent the number of bags of popcorn, and let y represent the number of bottles of soda. Which linear inequality can be used to find the quantities of popcorn and soda that should be purchased to receive a poster?

Answer 1

Answer:

We have been given that x represent the number of bags of popcorn, and let y represent the number of bottles of soda.

Now, the theater sells a bag of popcorn for $6 and bottle of soda for $3.50.

Therefore, cost of x bags of pop corn is given by $6x

And the cost of y bottles of soda is given by $3.50y

Thus, the total cost is given by

Now, we have been given that theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds $60.

It means that the total cost must be greater than $60.

Therefore, the required inequality is given by

Step-by-step explanation:

Answer 2

We have been given that x represent the number of bags of popcorn, and let y represent the number of bottles of soda.

Now, the theater sells a bag of popcorn for $6 and bottle of soda for $3.50.

Therefore, cost of x bags of pop corn is given by $6x

And the cost of y bottles of soda is given by $3.50y

Thus, the total cost is given by

$\text{cost of x bags of pop corn + cost of y bottles of soda}\\ \\ =6x+3.50y$

Now, we have been given that theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds $60.

It means that the total cost must be greater than $60.

Therefore, the required inequality is given by

$6x+3.50y>60$