Backwards problem solving

Question

Purchasing a movie combo pack of one popcorn and two drinks for $14 saves $4 compared to purchasing the items indivudally. If a drink costs $5, what is the individual cost of popcorn?

Answer 1

1 P + 2 D = 14 which is a $4 savings over buying the Popcorn and Drink separately

The Drink costs $5 separately, how much is the Popcorn's cost separately?

P + 2(5) = 14+4 = 18

P = 18-2(5) = 18-10 = $8 = individual cost of Popcorn

separately they cost $18 = $8 + 2($5) = 8+10 = 18

the combo costs $14 which saves $4

normally it would cost 14+4 = 18