Elijah and Bentley go to the movie theater and purchase refreshments for their friends.

Elijah spends a total of $59.00 on 4 bags of popcorn and 10 drinks.

Bentley spends a total of $90.00 on 8 bags of popcorn and 6 drinks.

Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.

Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.

x4+y10=59

Answer: let P stand for the popcorn and D stand for the drink. Use substitution method

equation: 4P+10D=59 and 8P+6D=90

One drink is 2 dollar and one popcorn is 9.75 dollar.

Step-by-step explanation:

Start with 8P+6D=90, subtract 6D from both side and you will get 8P=90-6D then divide both side by 8 and you will get P = (45/4) - (3/4D) then substitute the P in the 4P+10D=59 with (45/4) - (3/4D) and the equation will be 4 (45/4) - (3/4D) + 10D=59. then distribute the 4 and get 45-3D+10D=59 then add the like term and get 45+7D=59 then subtract 45 from both side and get 7D=14 the divide 7 on both side and you will end up with D=2. then substitute the D in the 8P+6D=90 with 2 and the equation will be 8P+6 (2) = 90 then you distribute the 6 and get 8P+12=90 then subtract both side to get 8P=78 then divide both side by 8 and get 9.75. Popcorn cost $9.75 and drink cost $2.