Question

50 POINTS!! WILL MARK BRAINLIEST!! SHOW ALL WORK!!

Answer 1

Answer:

see below

Step-by-step explanation:

Let x = macadamia nut dough price

y = triple chocolate cookie dough price

Mrs J class  sold 25 macadamia nut and 30 triple chocolate

25x+30y = 221.25

Mrs C class sold 5 macadamia nut and 45 triple chocolate

5x+45 y = 191.25

We have 2 equations and 2 unknowns

25x+30y = 221.25

5x+45 y = 191.25

Multiply the second equation by -5 so we can eliminate x

-5(5x+45 y = 191.25)

-25x -225y=-956.25

Add this to the first equation

-25x -225y=-956.25

25x+30y = 221.25

--------------------------

-195y = -735

Divide by -195 on each side

y =3.77

Now we need to find x

5x+45 y = 191.25

Substituting in for y

5x+45(3.77) = 191.25

5x +169.65=191.25

Subtract 169.65 from each side

5x +169.65-169.65=191.25-169.65

5x=21.6

Divide by 5

5x/5 = 21.6/5

x = 4.32

The macadamia nut dough is 4.32 and the triple chocolate is 3.77

I chose to use elimination since each x term is a multiple of 5

Answer 2

Answer:

See below.

Step-by-step explanation:

(a)  Let the cost of the macadamia dough = x and cost of the triple chocolate dough = y.

So we have the following system of equations:

25x + 30y = 221.25       ( Juliens class)

5x + 45y = 191.25         ( Castilejo's class).      (Answer).

(b)

Solving:

25x + 30y = 221.25  ......... (1)

5x + 45y = 191.25 ..............(2)

Multiply  equation (2) by -5:

-25x - 225y =  -956.25  .... (3)

Now add equations (1) and (3):-

-195y = -735

y = $3.77

Substituting in equation (1)

25x + 30(3.77) = 221.25

25x = 221.25 - 113.08 =  108.17

x = $4.33.

Answer The macadamia dough costs $4.33 and the chocolate cost $3.77.

(c) I used the elimination method to solve this because the substitution method would be more awkward - it would involve more calculation  and higher numbers.