PLUS 100 POINT tysm! please help me out Josh and his friends bought vanilla wafers for $4 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 27 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 vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival. Define the variables used in the equations. (50 points) Part B: How many packets of chocolate wafers and vanilla wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (50 points)

see below

Step-by-step explanation:

vanilla = 4 dollars per packet

chocolate = 1 dollar per packet

v = number of vanilla packets

c = number of chocolate packets

v+c = 27  for a total of 27 packets

4v+1c = 45  for 45 dollars spent

Subtract the first equation from the second equation  ( eliminate c to find v)

Since both equations have a coefficient of 1 for c, we can easily subtract to eliminate the c variable

4v + c =45

-v -c = -27

3v = 18

Divide by 3

3v/3 = 18/3

v = 6

6 packets of vanilla

Now find c

v+c = 27

6+c = 27

c = 27-6

c = 21

21 packets of chocolate

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)