ccchristian1
  • ccchristian1
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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ccchristian1
  • ccchristian1
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)
ccchristian1
  • ccchristian1
@UsukiDoll
anonymous
  • anonymous
hello

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More answers

ccchristian1
  • ccchristian1
yeah?
anonymous
  • anonymous
lets make strawberry x and chocolate y
UsukiDoll
  • UsukiDoll
oh gawd I hate these word problems sorry ^^'
ccchristian1
  • ccchristian1
@UsukiDoll you got time ? lol
ccchristian1
  • ccchristian1
oh alright its okay lol @UsukiDoll
anonymous
  • anonymous
strawberry is 3 dollars so 3x chocolate is 1 dollar so 1y
anonymous
  • anonymous
3x+y=30
anonymous
  • anonymous
That's the first equation
ccchristian1
  • ccchristian1
thats for part a?^
anonymous
  • anonymous
the second equation is x+y=22
anonymous
  • anonymous
both equations are part of the 'system of equations'
anonymous
  • anonymous
For part B we need to solve for x and y.
anonymous
  • anonymous
are you familiar with substitution?
ccchristian1
  • ccchristian1
not really
anonymous
  • anonymous
ok, so we have our two equations 3x+y=30 and x+y=22
anonymous
  • anonymous
isolate x or y in one of the equations and then plug it into the other equation
anonymous
  • anonymous
so isolate x in the second equation x+y=22
ccchristian1
  • ccchristian1
3x+y=22?
anonymous
  • anonymous
nope, we're just looking at x+y=22 right now
anonymous
  • anonymous
so get x by itself
ccchristian1
  • ccchristian1
so what will it be?
anonymous
  • anonymous
we have to subtract y from both sides
anonymous
  • anonymous
this gives x=22-y
anonymous
  • anonymous
now we take 22-y and replace that with x in the other equation
anonymous
  • anonymous
3(22-y)+y=30
anonymous
  • anonymous
solve for y
ccchristian1
  • ccchristian1
this will tell us how much packets did they buy
anonymous
  • anonymous
ya
ccchristian1
  • ccchristian1
then whats next ?
ccchristian1
  • ccchristian1
after that
anonymous
  • anonymous
y will tell us how many chocolate was bought. what did you get for y
ccchristian1
  • ccchristian1
33?
anonymous
  • anonymous
nope, you have to solve the equation
anonymous
  • anonymous
first foil out 3(22-y)
ccchristian1
  • ccchristian1
19?
anonymous
  • anonymous
where are you getting these numbers?
ccchristian1
  • ccchristian1
18?
anonymous
  • anonymous
that's right, good job
ccchristian1
  • ccchristian1
yeeeeeeee les get it
anonymous
  • anonymous
so we know there are 18 chocolate wafers. how many strawberry are there?
anonymous
  • anonymous
substitute it back into this equation x+y=22
ccchristian1
  • ccchristian1
to what number ??
anonymous
  • anonymous
well we just found that y was 18
ccchristian1
  • ccchristian1
soooo......
ccchristian1
  • ccchristian1
so 22?
anonymous
  • anonymous
x+y=22 If y is 18, what is x
ccchristian1
  • ccchristian1
22?
anonymous
  • anonymous
x+(18)=22
anonymous
  • anonymous
solve for x
ccchristian1
  • ccchristian1
4?
anonymous
  • anonymous
correct so there are 4 strawberry and 18 chocolate
anonymous
  • anonymous
4 x 3 + 18 x 1 = 30 18 + 4 = 22
anonymous
  • anonymous
This method is called the substitution method where you substitute one equation in for another

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