If two bags of popcorn and three drinks cost $14, and four bags of popcorn and one drink costs $18, how much does a drink cost?

Answer 1

2P + 3D = 14

4P +D = 18

multiply the 1st equation by 2

4P +6D = 28

subtract the 2nd equation to eliminate one variable

5D = 10

divide both sides by 5

D=10/5 = $2 per drink

2P= 14-3D = 14-6 = 8

P=8/2 = $4 per bag of popcorn