When making pancakes, the amount pancake mix varies directly with the number of pancakes made. If 2 cups of min Produces 13 pancakes, how many pancakes would be produce with 12 cups of pancake mix?
1 Answer
Total count of pancakes made with 12 cups is 78
Explanation:
The wording of this question indicates that they are looking for something very specific.
As soon as you see the word 'varies' in this question type you are looking for:
answer= (constant of variation) x (some value)
In this case the constant of variation is "the number of pancakes made from 1 cup measure"
Let the constant of variation be
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Given that 2 cups makes 13 pancakes then 1 cup makes
Let the total count of pancakes be
Let the count of cup measures be
Then
We are told that the number of cups used is 12 so
Total count of pancakes made with 12 cups is 78
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
13 can be split into
So