Question

One cookie and two brownies cost the same as two cookies and one brownie. One cookie and one brownie together cost $1. What is the cost, in cents, of one cookie?

Answer 1

Answer:

50 cents

Step-by-step explanation:

Let's set up a system of equations. Let x be a cookie and y be a brownie then...

x+2y=2x+y

x+y=1

We can solve this using substitution

x=1-y

1-y+2y=2(1-y)+y

1+y=2-2y+y

1+y=2-y

-1=-2y

y=1/2

One brownie costs 50 cents and one cookie costs...

x+1/2=1

x=1/2

One cookie costs 50 cents

Answer 2

Answer : Cookie is 50 cents.
Step by step explanation :
Cookie = x and brownie = y
Equation : x + 2y = 2x + y
Subtract y on both sides.
X + y = 2x
Since x + y equals 1, plug that into the equation.
1 = 2x
X = 0.5, or 50 cents
One cookie costs 50 cents. Please mark brainliest if possible ;)