Question

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. (5 points)

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. (5 points)

Answer 1

A.
s=number of strawberry wafers
c=number of chocolate wafers

3s+1c=30
s+c=22

B.
multiply 2nd equation by -1 to do elimination
add to the first equation

3s+1c=30
-s-c=-22 +
2s+0c=8

2s=8
divide by 2
s=4

sub back
s+c=22
4+c=22
c=18

I used elimiation because it seemed right for this one



I can also do subsitution

3s+1c=30
s+c=22
minus s both sides in 2nd equation

c=22-s
sub for c in other equation
3s+22-s=30
2s+22=30
minus 22 both sides
2s=8
divide by 2
s=4
and now
c=22-s
c=22-4
c=18

substiotion because it's easier for some people to see

18 chocolate
4 strawberry