Julia went to the movies and bought one jumbo popcorn and two chocolate chip cookies for $5: 00. marvin went to the same movie and bought one jumbo popcorn and four chocolate chip cookies for $6.00. how much does each item cost.

In order to solve for this, let's start by assigning two variables.

'p' will represent the price of popcorn? and 'c' will represent the price of a cookie.

Now that we have these two variables, we can use the given statements to make two equations:

p + 2c = 500 ("Julia...bought one jumbo popcorn and two chocolate chip cookies for $5.00")
p + 4c = 600 ("Marvin went to the same movie and bought one jumbo popcorn and four chocolate chip cookies for $6.00")

In order to solve for the variables, we can use the subtraction method.

p + 2c = 500
-p - 4c = -600

-2c = -100

Divide both sides by -2:
c = 50

Now that we know that a cookie costs 50 cents, we can input it into one of our equations to solve for the price of popcorn:

p + 2(50) = 500
p + 100 = 500
p = 400

Jumbo popcorn costs $4.00, and cookies cost $0.50.

Good luck! If you need me to explain anything in more detail, just ask :))
-T.B.