SOLUTION: At the movies concession stand, the cost for one popcorn and one drink id $5.75. The cost for 3 popcorns and 2 drinks is 14.75. what is the cost for popcorn?

Question 352112: At the movies concession stand, the cost for one popcorn and one drink id $5.75. The cost for 3 popcorns and 2 drinks is 14.75. what is the cost for popcorn?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At the movies concession stand, the cost for one popcorn and one drink id $5.75. The cost for 3 popcorns and 2 drinks is 14.75. what is the cost for popcorn?
---------------------------------------
Equations:
p + d = 575 cents
3p+2d = 1475 cents
---------------------
Multiply thru the 1st eq. by 2 to get:
2p + 2d = 2*575
---
Subtract that from the 2nd eq. and solve for "p":
p = 1475-2*575 = 325 cents
---
popcorn = $3.75
==========================
Cheers,
Stan H.
RELATED QUESTIONS
3 large popcorns and 2 small drinks at the movie theatre cost $21.00. 2 large popcorn and (answered by hamsanash1981@gmail.com)

At the movies you buy a soda for $2.75 and 2 small popcorns. What is a variable you... (answered by josgarithmetic)

I am trying to write and solve a system of equation. THe question is 3 large popcorns... (answered by stanbon)

write and solve a system of equations to find the cost of a large popcorn and the cost of (answered by jsmallt9)

At a concession stand, one person purchased 3 drinks and 3 pretzels for $9.00. Another... (answered by lwsshak3)

There are 2 types of popcorn and 4 types of hotdogs available at a concession stand in a... (answered by ikleyn,ewatrrr)

There are 2 types of popcorn and 4 types of hotdogs available at a concession stand in a... (answered by ewatrrr)

Juan and movies and his friends went to the movies while they were there they decided to... (answered by josmiceli)

Vivian and her family are at the movies and wish to purchase some popcorn. A large... (answered by ikleyn)