Answer:
Price of one bag of popcorn: $9.5
Price of one drink: $5.5
Step-by-step explanation:
Let be "b" the price in dollars of a bag of popcorn and "d" the price in dollars of a drink.
You know that the total amount of money Easton spends on on 9 bags of popcorn and 6 drinks, is $118.50. Then,this can be represented with the following equation:
Knowing that Eli spends $83.50 on 3 bags of popcorn and 10 drinks, you can write the second equation:
Then, the System of equations is:
You can use the Elimination methot to solve it:
1. Multiply the second equation by -3.
2. Add both equations.
3. Solve for "d"
Then, you get:
4. You can subsitute "d" into the second equation and solve for "b":