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.

Answer 1

@Mehek14

Answer 2

do you know what a system of equations is?

Answer 3

not really... like, a couple of equations?

Answer 4

well sort of

Answer 5

the goal of this question is to write one....... so there is 2 equations in a system of equation, they are used to find cost of something like with 2 variables.

Answer 6

right

Answer 7

so first you need to determine 2 variables(the numbers you are tying to find in the problem)

Answer 8

do know which two?

Answer 9

s and c

Answer 10

strawberry for s
chocolate for c
right?

Answer 11

yes

Answer 12

now we need to make 2 equations to find how many of each wafers Devon bought

Answer 13

thats the part that idk

Answer 14

s + c = 22
he bought a total of 22 wafers.

3s + c = 30
amount of money spent and how much each wafer is

Answer 15

does this make sense? that will be it for this question since it doesn't ask you to solve...

Answer 16

oooo yes!! and, part b asks me to solve..

Answer 17

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 18

well at least part a is done :D

Answer 19

can you help with part b?

Answer 20

ok sure
what don't you get?

Answer 21

how many of each

Answer 22

ok so first lets set up the equation, put it on of top of another like this
s + c = 22
3s + c = 30

Answer 23

now we have to isolate one variable

Answer 24

in this case, c is alone for both equations so we can subtract it

Answer 25

correct..

Answer 26

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

Answer 27

still following?

Answer 28

yes

Answer 29

so there is 4 strawberry wafers, now we just plug in or substitute in 4 for s in which ever equation you want
lets do s + c = 22 since its easier
4 + c = 22
c = 18

Answer 30

now check your answer in the other equation,
3s + c = 30
3(4) + 18 = 30
12 + 18 = 30
correct!!

Answer 31

oo!! Thanks so much!!

Answer 32

no problem