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ANSWER
EXPLANATION
The given equation is
Divide both sides by
Cancel out common factors on the left hand side,
For this solution to be a whole number, then should be a factor of
.
The reason is that, factors of 6 will divide exactly in to 6 without a remainder, making the answer a whole number.
The whole numbers that are factors of 6 are,
Note that, the set of whole numbers are,
{
}
EXPLANATION
The given equation is
Divide both sides by
Cancel out common factors on the left hand side,
For this solution to be a whole number, then
The reason is that, factors of 6 will divide exactly in to 6 without a remainder, making the answer a whole number.
The whole numbers that are factors of 6 are,
Note that, the set of whole numbers are,
{
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.