Answer:
We use Simultaneous Equation to express the problem
From the equation, a bag of popcorn will cost $5
Explanation:
We can represent drink with d and bad of popcorn with p
If Tristan spent $38.75 on 5 drinks and 2 bags of popcorn, the we can interpret it as
5d + 2p = 38.75 ....................... eqn 1
And if Noah spent $37.25 on 3 drinks and 4 bags of popcorn, we can interpret it also as
3d + 4p = 37.25 ........................ eqn 2
This is now a Simultaneous Equation
Since we are to state the price of a bag of popcorn, then we can use the elimination method to eliminate d and solve for p
To do this, Multiply eqn 1 by 3 and eqn 2 by 5
(5d + 2p = 38.75)*3
(3d + 4p = 37.25)*5
The we will have
15d + 6p = 116.25 .......................... eqn 3
15d + 20p = 186.25 ...................... eqn 4
If we subtract eqn 3 from eqn 4, we will have
14p = 70
Divide both sides by 14 to get the value of p, and we will have
p = 70/14
p = 5
Therefore a bag of popcorn equals to $5