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Adam and his children went into a movie theater and he bought $76 worth of drinks and candies. Each drink costs $6 and each candy costs $4. He bought a total of 15 drinks and candies altogether. Determine the number of drinks and the number of candies that Adam bought.

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joseaaronlara

Answer:

The answer to your question is: 8 drinks and 7 candies.

Step-by-step explanation:

Data

Adam bought $76

Drinks cost = $6

Candy cost = $4

Total objects cost = 15

drinks = ?

candies = ?

Process

1.- Asign letters to each object

candies = c

drinks = d

2.- Write equations with the data given

         

         c + d = 15

       6d + 4c = 76

3.- Solve the system equations by elimination

          -4c -4d = -60

           4c + 6d = 76

            0 + 2 d = 16

                  d = 16/2

                  d = 8

          4c + 6(8) = 76

          4c + 48 = 76

          4c = 76 - 48

          4c = 28

          c = 28/4

          c = 7

Adam bought 8 drinks and 7 candies.