The sum of two consecutive even integers is 22 less than four times the smaller of the two numbers.Find the larger of the two in
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For this case we propose a system of equations:
x: Represents the amount of small popcorn tubs
y: Represents the amount of large popcorn tubs
According to the data we have to:
(Spending all the money in your wallet)
(Buying 7 popcorn tubs)
From the second equation we have:
Substituting in the first equation:
Thus, Katie can buy 3 large tubs of popcorn.
So:
In addition, you can buy 4 small tubs of popcorn.
Answer:
3 large popcorn tubs.
4 small popcorn tubs.