Before you read: Hello! My name is Matthew and I will be doing the elimination method. If you don't know what that is; follow the steps I provide! I will show you step by step how to solve this problem. Okay! You may continue with the answer! :)
Answer:
Large bags of popcorn sold = 50
Small bags = 150
Step-by-step explanation:
Our two equations are:
s(small bags) + L(large bags) = 200(number of bags sold)
4s + 6L = $900(how much money was made)
Let's multiply the first equation by -4 to cancel our s value when we add the equations together.
-4s + -4L = -800.
Our equations now look like this:
First equation: -4s + -4L = -800
Second equation: 4s + 6L = 900
Add the two equations together,
2L = 100
Divide by two,
L = 50.
Now that we know our L value, we can go back way up to the first sentence and substitute 50 for L. Our equation now looks like this:
s + 50 = 200.
Subtract 50 from each side of the equals,
s + (50 - 50) = (200 - 50)
Our equation now looks like this:
s = 150.
Our final answer: 150 small bags of popcorn sold, and 50 large bags.
Thank you for reading my response. If this has helped, leave a thank you! It would be really appreciated and would show me if you learned something from this! Have a good day and stay safe! BTW, this answer is right on Edmentum.
