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Claudia went to the concession stand at the baseball game and bought 3 hot dogs and 4 drinks. Her total
came to $18.50. Marco spent $18 for 4 hot dogs and 2 drinks. How much does a hot dog cost at this
concession stand? How much does a drink cost?

Respuesta :

Answer: Hot dog = $3.50

Drink = $2.0

Step-by-step explanation:

Let the cost of a hot dog be x

Let the cost of a drink be y.

From the question above, we can form an equation as:

3x + 4y = 18.50 ....... i

4x + 2y = 18 ......... ii

Multiply equation i by 4

Multiply equation ii by 3

12x + 16y = 74 ...... iv

12x + 6y = 54 ...... v

Subtract v from iv

10y = 20

y = 20/10

y = 2

A drink cost $2

From equation ii

4x + 2y = 18

Recall that y = 2

4x + 2(2) = 18

4x + 4 = 18

4x = 18 - 4

4x = 14

x = 14/4

x = 3.5

A hot dog ost $3.50

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