Question

If someone can help me out I would really appreciative :)

Josh and his friends bought vanilla wafers for $4 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 27 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.

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.

Your answer:

Answer 1

Let the number of vanilla wafers bought be x
Let the number of chocolate wafers bought be y
x+y=27 (Equation relating to number of items)
4x+1y=45 (Equation relating to cost )

Solving for the simultaneous equation using substitution method
x=27-y
4(27-y)+y=45
108-4y+y=45
108-3y=45
108-45=3y
63=3y
y=21
x=27-21
x=6

Therefore the number of vanilla wafers bought is 6 and the number of chocolate wafers bought is 21.