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.

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.