Question

Mariana and her children went into a movie theater and she bought $51.25 worth of candies and pretzels. Each candy costs $4.75 and each pretzel costs $3.25. She bought a total of 13 candies and pretzels altogether. Write a system of equations that could be used to determine the number of candies and the number of pretzels that Mariana bought. Define the variables that you use to write the system.

Answer 1

The system of equations that could be used to determine the number of candies and the number of pretzels that Mariana bought is:

4.75C + 3.25P = 51.25

C + P = 13

Variables

C = Number of candies Mariana bought

P = Number of pretzels Mariana bought

How to write system of equation

Let's define the variables and write a system of equations to represent the given information.

Let:

C = Number of candies Mariana bought

P = Number of pretzels Mariana bought

From the given information, we can form the following system of equations:

Equation 1: The total cost of candies and pretzels is $51.25.

4.75C + 3.25P = 51.25

Equation 2: The total number of candies and pretzels bought is 13.

C + P = 13

So, the system of equations is:

4.75C + 3.25P = 51.25

C + P = 13

These equations can be used to determine the number of candies (C) and the number of pretzels (P) that Mariana bought.