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Dominic went into a movie theater and bought 2 drinks and 5 candies, costing a total of $29.25. Colton went into the same movie theater and bought 8 drinks and 7 candies, costing a total of $61.75. Determine the price of each drink and the price of each candy.


Each drink costs $__ and each candy costs $__.


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Answer:

candy  $4.25   drink  $4

Step-by-step explanation:

ELIMINATION METHOD:

d= drink   c= candy

2d+5c= 29.25

8d+7c=61.75

 MULYIPLY THE FIRST BY -4

-8d -40c = -117

8d+7c = 61.75

ADD BOTH (d is cancelled)

-13c = -55.25

c= 4.25  1 candy is $4.25   5 candy= 21.25

2d + 21.25 = 29.25

2d= 8

d= 4      1 drink   = $4

the answer is the candy is $4.25 and the drink costs $4