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31 votes
Julia went to the movies and bought one jumbo popcorn and two chocolate chip cookies for $ 5.00 . Marvin went to the same movie and bought one jumbo popcorn and four chocolate chip cookies for $ 6.00 . How much does each item cost ?

User Stephen Deken
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2 Answers

12 votes
12 votes
Marvin went to the same movie and bought one jumbo popcorn and four chocolate chip cookies for $6.00. How much does one chocolate chip ..
User Anand Rajagopal
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3.9k points
20 votes
20 votes

Let x be the cost of Jumbo popcorn and let y be the cost of chocolate chip

x + 2y = 5

x + 4y = 6

Subtract equation first equation from the second equation

2y = 1

Divide both-side of the equation by 2

y = 1/2

y = 0.5

substitute 0.5 into the first equation and solve for x

x + 2(0.5) = 5

x + 1 = 5

subtract 1 from both-side of the equation

x = 5 - 1

x = 4

Therefore each Jumbo popcorn costs $4 and each chocolate chip costs $0.5

User Cardeol
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3.0k points