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3 years ago

Kayden and Carter go to the movie theater and purchase refreshments for their friends.

Mathematics

2 answers:

r-ruslan [8.4K]3 years ago

8 0

Answer:

3x + 6y = 64.50________equation 1

9x + 8y = 106.00_______equation 2

Price of a bag of popcorn is $3(300 cents) WHILE the price of one drink is $8.75(875 cents)

Step-by-step explanation:

The question here says that Kayden and Carter go to the movie theater and purchase refreshments for their friends.

Kayden spends a total of $64.50 on 3 bags of popcorn and 6 drinks.

Carter spends a total of $106.00 on 9 bags of popcorn and 8 drinks.

Now let's assume that the price of each bag of popcorn is X and the price of one drink as Y

It means that

3x + 6y = 64.50________equation 1

9x + 8y = 106.00_______equation 2

Make "x" the subject of the formula in equation 1

3x = 64.50 - 6y

X = (64.50 - 6y)/3

Apply the above in equation 2 and we have

9[ (64.50 - 6y)/3] + 8y = 106

9(21.5 - 2y) +8y = 106

193.5 - 18y + 8y = 106

193.5 - 10y = 106

Y= (193.5 - 106)/10

Y= $8.75 (price of one drink)

Now substitute Y = 8.75 in equation 1

3x + 6y = 64.50

3x + 6(8.75) = 64.50

3X = 64.50 - 52.5

X = 12/3

X = 3

aalyn [17]3 years ago

4 0

Answer:

The answer for the popcorn was actually $4.00.

Step-by-step explanation:

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