Christian went into a movie theater and bought 8 drinks and 10 candies, costing a total of $94. Dianelys went into the same movie theater and bought 9 drinks and 6 candies, costing a total of $79.50. Write a system of equations that could be used to determine the price of each drink and the price of each candy. Define the variables that you use to write the system.
Question
Christian went into a movie theater and bought 8 drinks and 10 candies, costing a total of 79.50. Write a system of equations that could be used to determine the price of each drink and the price of each candy. Define the variables that you use to write the system.
Solution
Let's define the variables first:
Let D represent the cost of each drink. Let C represent the cost of each candy.
Now, we can write two equations based on the information given in the problem:
From Christian's purchase, we know that 8D + 10C = $94. This is our first equation.
From Dianelys's purchase, we know that 9D + 6C = $79.50. This is our second equation.
So, the system of equations is:
8D + 10C = 94 9D + 6C = 79.50
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