10 girls go to see a chick flick together on a Friday night at their local megaplex. They buy x large popcorns and y large fount
ain drinks. Together they spend $85 on snacks. They walk into an empty theater that has been recently cleaned. They have the theater to themselves. When they leave, there are 14 things in the garbage. How many large popcorns and how many large fountain drinks did they drink?
Write a system of equations. Solve using either linear combination or substitution. Show all work.
Write a system of equations. Solve using either linear combination or substitution. Show all work.
1 answer:
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Answer:
-56
Step-by-step explanation:
Hello!
Let's create an equation to figure out what the middle integer really is.
Creating an equation:
n + (n + 1) + (n + 2) = -168 (This is true because we must account for the <em>consecutive integers </em>part.)
Simplifying:
3n + 3 = -168
Subtracting:
3n = -171
Dividing:
n = -57
Now, we plug-and-chug:
-57, -56, -54 (this is because we accounted for adding <em>positive </em>one.)
Thus, the middle integer is .
Check:
We can see if we are correct by adding up -57, -56, -54.
(-57) + (-56) + (-54) = -168
So we are correct!
Hope this helps!