Question

I'll give 100 points Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $30 to buy a total of 22 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 strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations.


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

Answer 1

[Part A]
A system of equations is different equations that can be used to find different variables. We will write one for the money spent and one for the items bought. Let x be strawberry wafers and y be chocolate wafers.
$3x +$1y = $30
× +у = 22
[Part B]
We will graph the two systems to solve. I am choosing this method because it is the quickest and easiest.
The point of intersection is the solution.
Remember x is strawberry and y is chocolate. They bought 4 strawberry and 18 chocolate.

Answer 2

[Part A]

A system of equations is different equations that can be used to find different variables. We will write one for the money spent and one for the items bought. Let x be strawberry wafers and y be chocolate wafers.

$3x + $1y = $30

x + y = 22

[Part B]

We will graph the two systems to solve. I am choosing this method because it is the quickest and easiest.

The point of intersection is the solution. Remember x is strawberry and y is chocolate. They bought 4 strawberry and 18 chocolate.