At a candy store erica bought 3 kg of cinnamon red hots and 1 kg of gummy bears for $21 meanwhile irene bought 3 kg of cinnamon red hots and 3 kg of gummy bears for $39 what is the cost of 1 kg of each type of candy?

Cinnamon Red Hits = $4 per kg

Gummy Bears = $9 per kg

Step-by-step explanation:

Given parameters

Let c represent cinnamon red hots

Let g represent gummy bears

Erica Purchase:

c = 3 kg

g = 1 kg

Rate = $21

So, we can represent this on an equation as:

3c + g = 21

Irene's Purchase

c = 3 kg of

g = 3 kg

Rate = $39

So, we can represent this on an equation as:

3c + 3g = 39

Required:

What is the cost of 1 kg of each type of candy

At this point, we've derived two equations which can be solved simultaneously

3c + g = 21 --- (1)

3c + 3g = 39 (2)

Subtract equation 2 from 1. This gives

3c + g = 21 --- (1)

3c + 3g = 39 (2)

3c - 3c + g - 3g = 21 - 39

-2g = -18

Divide through by-2

-2g/-2 = -18/-2

g = 9

Substitute 9 for g in equation 1

3c + g = 21 becomes

3c + 9 = 21

Collect like terms

3c = 21 - 9

3c = 12

Divide through by 3.

3c/3 = 12/3

c = 4

Recall that

c represent cinnamon red hots

g represent gummy bears

So,

Cinnamon Red Hits = $4 per kg

Gummy Bears = $9 per kg

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2