Abbott and his friends bought vanilla wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 13 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 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)

Part B: How many packets of chocolate wafers and vanilla wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

Question

Abbott and his friends bought vanilla wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 13 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 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)

Part B: How many packets of chocolate wafers and vanilla wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

snowflake0531 · Answer

Let's first do Part A
vanilla wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 13 packets of wafers of the two varieties.

So we have 2 variables, vanilla wafers and chocolate wafers
WE can name vanilla wafers as x, an chocolate ones as y

So 2 dollars for each x, 1 dollar per each y, equals 45 dollars
then x plus y equals 13 in all

Can you write these in numbers form, as an equation?