Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. they spent a total of $25 to buy a total of 20 packets of wafers of the two varieties.

part a: write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that mike and his friends bought at the carnival. define the variables used in the equations. (5 points)

part b: how many packets of chocolate wafers and cheese wafers did they buy? explain how you got the answer and why you selected a particular method to get the answer. (5 points)

Part A: 2x + y = 25 and x + y = 20

First equation

2x + y = 25

2x + y + -2 = 25 + -2x

y = -2x + 25

Second equation

x + y = 20

x + -2x + 25 = 20

-x + 25 = 20

-x + 25 + -25 = 20 + -25

-x + -5 

-x/-1 = -5/-1

x = 5

Third equation

y = -2x + 5

y = -2(5) + 25 

y = 15

Part B: He bought 5 cheese wafers and 15 chocolate wafers. I solved it by doing substitution.

Step-by-step explanation:

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.