samuel and his children went into a movie theater and he bought $43.75 worth of bags of popcorn and candies…

samuel and his children went into a movie theater and he bought $43.75 worth of bags of popcorn and candies. each bag of popcorn costs $5 and each candy costs $4.75. he bought a total of 9 bags of popcorn and candies altogether. write a system of equations that could be used to determine the number of bags of popcorn and the number of candies that samuel bought. define the variables that you use to write the system.\nanswer attempt 1 out of 2\nlet \nlet \nsystem of equations:

samuel and his children went into a movie theater and he bought $43.75 worth of bags of popcorn and candies. each bag of popcorn costs $5 and each candy costs $4.75. he bought a total of 9 bags of popcorn and candies altogether. write a system of equations that could be used to determine the number of bags of popcorn and the number of candies that samuel bought. define the variables that you use to write the system.\nanswer attempt 1 out of 2\nlet \nlet \nsystem of equations:

Answer

Explanation:

Step1: Define the variables

Let $x$ = the number of bags of popcorn. Let $y$ = the number of candies.

Step2: Write the equation for the total number of items

The total number of bags of popcorn and candies is 9. So, $x + y=9$.

Step3: Write the equation for the total cost

Each bag of popcorn costs $5 and each candy costs $4.75, and the total cost is $43.75. So, $5x + 4.75y=43.75$.

Answer:

Let $x$ = the number of bags of popcorn. Let $y$ = the number of candies. System of Equations: $x + y = 9$ $5x+4.75y = 43.75$