Question

Kevin and Colton go to the movie theater and purchase refreshments for their friends.

Answer 1

Answer:

$8.25

Step-by-step explanation:

let d represent drink and p represent popcorn, then

3d + 2p = 45 → (1)

9d + 3p = 110.25 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate d, thus

- 9d - 6p = - 135 → (3)

Add (2) and (3) term by term, that is

- 3p = - 42.75 ( divide both sides by - 3 )

p = 8.25

The price of a bag of popcorn is $8.25

Answer 2

Answer:

Step-by-step explanation:

x be cost of one drink

y be cost of one popcorn

Kevin:

3x + 2y = 45         --------------(i)

Colton:

9x + 3y = 110.25     -----------(ii)

Multiply (i) by (-3)

(i)*(-3)      -9x - 6y = - 135

(ii)             9x + 3y = 110.25          {Now add and so 9x will be eliminated}

                      - 3y = - 24.75

                          y = -24.75/-3

                        y = 8.25

Put y value in (i)

3x + 2*8.25 = 45

3x  + 16.50 = 45

3x = 45 - 16.50

3x = 28.50

x = 28.50/3

x = 9.50

Price of one drink x = $9.50

Price of one bag of popcorn = $8.25