Shmack4000idn
Answered

IDNLearn.com provides a collaborative environment for finding accurate answers. Join our community to receive timely and reliable responses to your questions from knowledgeable professionals.

At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90. What is the cost of a medium drink and a large popcorn?

At The Movies A Couple Bought 2 Medium Drinks And A Large Popcorn For 1385 At The Same Theater A Family Bought 3 Medium Drinks And 2 Large Popcorns For A Total class=

Sagot :

Semsee45idn

Answer:

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

Step-by-step explanation:

Let D = cost of one medium drink

Let P = cost of one large popcorn

If a couple bought 2 medium drinks and a large popcorn for $13.85:

⇒ 2D + P = 13.85

If a family bought 3 medium drinks and 2 large popcorn for a total of $23.90:

⇒ 3D + 2P = 23.90

Rewrite 2D + P = 13.85 to make P the subject:

⇒ P = 13.85 - 2D

Substitute into 3D + 2P = 23.90 and solve for D:

⇒ 3D + 2(13.85 - 2D) = 23.90

⇒ 3D + 27.7 - 4D = 23.90

⇒ D = 3.8

Substitute found value of D into P = 13.85 - 2D to find P:

⇒ P = 13.85 - (2 x 3.8) = 6.25

Therefore,

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.