Part A: Write a system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival. Define the variables used in the equations. (5 points)

Answer 1

Let x represent the number of packets of vanilla wafers bought and y represent the number of packets of chocolate wafers bought.

The total number of packets bought by Josh and his friends is 6:
x + y = 6

The total cost of the packets is $24, where each packet of vanilla wafers costs $3 and each packet of chocolate wafers costs $5:
3x + 5y = 24

Therefore, the system of equations is:
x + y = 6
3x + 5y = 24