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.

Answer 1

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 2

@UsukiDoll

Answer 3

hello

Answer 4

yeah?

Answer 5

lets make strawberry x and chocolate y

Answer 6

oh gawd I hate these word problems sorry ^^'

Answer 7

@UsukiDoll you got time ? lol

Answer 8

oh alright its okay lol @UsukiDoll

Answer 9

strawberry is 3 dollars so 3x
chocolate is 1 dollar so 1y

Answer 10

3x+y=30

Answer 11

That's the first equation

Answer 12

thats for part a?^

Answer 13

the second equation is
x+y=22

Answer 14

both equations are part of the 'system of equations'

Answer 15

For part B we need to solve for x and y.

Answer 16

are you familiar with substitution?

Answer 17

not really

Answer 18

ok, so we have our two equations
3x+y=30 and
x+y=22

Answer 19

isolate x or y in one of the equations and then plug it into the other equation

Answer 20

so isolate x in the second equation
x+y=22

Answer 21

3x+y=22?

Answer 22

nope, we're just looking at x+y=22 right now

Answer 23

so get x by itself

Answer 24

so what will it be?

Answer 25

we have to subtract y from both sides

Answer 26

this gives x=22-y

Answer 27

now we take 22-y and replace that with x in the other equation

Answer 28

3(22-y)+y=30

Answer 29

solve for y

Answer 30

this will tell us how much packets did they buy

Answer 31

ya

Answer 32

then whats next ?

Answer 33

after that

Answer 34

y will tell us how many chocolate was bought.
what did you get for y

Answer 35

33?

Answer 36

nope, you have to solve the equation

Answer 37

first foil out 3(22-y)

Answer 38

19?

Answer 39

where are you getting these numbers?

Answer 40

18?

Answer 41

that's right, good job

Answer 42

yeeeeeeee les get it

Answer 43

so we know there are 18 chocolate wafers. how many strawberry are there?

Answer 44

substitute it back into this equation
x+y=22

Answer 45

to what number ??

Answer 46

well we just found that y was 18

Answer 47

soooo......

Answer 48

so 22?

Answer 49

x+y=22
If y is 18, what is x

Answer 50

22?

Answer 51

x+(18)=22

Answer 52

solve for x

Answer 53

4?

Answer 54

correct
so there are 4 strawberry and 18 chocolate

Answer 55

4 x 3 + 18 x 1 = 30
18 + 4 = 22

Answer 56

This method is called the substitution method where you substitute one equation in for another