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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)
lets make strawberry x and chocolate y
oh gawd I hate these word problems sorry ^^'
strawberry is 3 dollars so 3x chocolate is 1 dollar so 1y
That's the first equation
thats for part a?^
the second equation is x+y=22
both equations are part of the 'system of equations'
For part B we need to solve for x and y.
are you familiar with substitution?
ok, so we have our two equations 3x+y=30 and x+y=22
isolate x or y in one of the equations and then plug it into the other equation
so isolate x in the second equation x+y=22
nope, we're just looking at x+y=22 right now
so get x by itself
so what will it be?
we have to subtract y from both sides
this gives x=22-y
now we take 22-y and replace that with x in the other equation
solve for y
this will tell us how much packets did they buy
then whats next ?
y will tell us how many chocolate was bought. what did you get for y
nope, you have to solve the equation
first foil out 3(22-y)
where are you getting these numbers?
that's right, good job
yeeeeeeee les get it
so we know there are 18 chocolate wafers. how many strawberry are there?
substitute it back into this equation x+y=22
to what number ??
well we just found that y was 18
x+y=22 If y is 18, what is x
solve for x
correct so there are 4 strawberry and 18 chocolate
4 x 3 + 18 x 1 = 30 18 + 4 = 22
This method is called the substitution method where you substitute one equation in for another