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Elanso [62]
3 years ago
11

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 dri

nks and 2 large popcorns for a total of $23.90. What is the cost of a medium drink? What is the cost of a large popcorn?
Mathematics
2 answers:
m_a_m_a [10]3 years ago
7 0

Answer:

a) the cost of one medium drink be $3.80

b) the cost of a large popcorn be $6.25

Step-by-step explanation:

Let the cost of one medium drink be $x

and the cost of a large popcorn be $y

According to question,

A couple bought 2 medium drinks and a large popcorn for $13.85.

2x + y = 13.85      ..............(1)

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

3x + 2y = 23.90      ..............(2)

Using Elimination method to solve the system of equation,

Multiply equation (1) by 2 , we get,

4x + 2y = 27.70      ..............(3)

Now, subtract equation (2) from (3), we get,

4x + 2y-(3x + 2y) = 27.70 - 23.90

4x + 2y-3x - 2y = 3.80

4x -3x = 3.80

x = 3.80

Substitute, x = 3.8 in (1) ,

2(3.80) + y = 13.85  

7.60 +y = 13.85

y = 6.25

Therefore, the cost of one medium drink be $3.80

and the cost of a large popcorn be $6.25



Viefleur [7K]3 years ago
3 0

<u>Answer:</u>

Medium drink = $3.8

Large popcorn = $6.25

<u>Step-by-step explanation:</u>

Assuming the cost of a medium drink to be m and the cost of a large popcorn to be p, we can write these two equations:

2d+p=13.85 --- (1)

3d+2p=23.90 --- (2)

Finding the cost of a medium drink and a large popcorn.

From equation (1), p=13.85-2d.

Substituting this value of p in equation (2):

3d+2p=23.90

3d+2(13.85-2d)=23.90

3d+27.7-4d=23.90

3d-4d=23.90-27.7

d=3.8

Now substituting this value of d to find p:

p=13.85-2d

p=13.85-2(3.8)

p=6.25

Therefore, the cost of a medium drink is $3.8 while a large popcorn costs $6.25.

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