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 attempt 2 out of 4 let c = the number of candies. let p = the number of pretzels. system of equations: c + p = 13 4.75c + 3.35 = 51.25

Explanation:

Step1: Define total items equation

Total number of items is 13:
\(c + p = 13\)

Step2: Define total cost equation

Total cost equals sum of item costs:
\(4.75c + 3.25p = 51.25\)

Answer:

Let \(c\) = the number of candies
Let \(p\) = the number of pretzels
System of Equations:
\(c + p = 13\)
\(4.75c + 3.25p = 51.25\)