Answer:
Drinks cost $10 and bag of popcorn $10.25
Step-by-step explanation:
In this case we can solve it using a 2x2 system of equations, like this:
let x: price of bag of popcorn
let y: price of drinks
So:
1 * x + 6 * y = 70.25 => x = 70.25 - 6 * y
5 * x + 12 * y = 171.25
Replacing, we are left with that:
5 * (70.25 - 6 * y) + 12 * y = 171.25
351.25 - 30 * y + 12 * y = 171.25
- 30 * y + 12 * y = 171.25 - 351.25
-18 * y = -180
y = 180/18
y = 10
Now to calculate x:
x = 70.25 - 6 * 10
x = 10.25
this means that the drinks cost $10 and bag of popcorn $10.25
