Question

A company sells three types of movie gift baskets. A basic basket with 2 movie passes and 1

package of microwave popcorn costs $15.50. A medium basket with 2 movie passes, 2
packages of popcorn, and 1 DVD cost $37. A super basket with 4 movie passes, 3 packages of
popcorn, and 2 DVDs costs $72.50. Find the cost of each item in the gift baskets.

Answer 1

To find the cost of each item in the gift baskets, set up a system of equations and solve for the variables.

Step-by-step explanation:

To find the cost of each item in the gift baskets, we can set up a system of equations based on the given information.

Let x be the cost of 1 movie pass, y be the cost of 1 package of microwave popcorn, and z be the cost of 1 DVD.

From the first sentence, we can write:

1. 2x + y = 15.50

From the second sentence, we can write:

1. 2x + 2y + z = 37

From the third sentence, we can write:

1. 4x + 3y + 2z = 72.50

Solving this system of equations, we find that x = $4, y = $3, and z = $10.