the ratio of cakes/cups is constant
cakes/cups = 6/(2/3) = 9
so use that ratio for your other amounts of cups
cakes/cups = 6/(2/3) = 9
so use that ratio for your other amounts of cups
Given that 2/3 cup of pancake mix makes 6 pancakes, we can set up a proportion to find the ratio:
(2/3 cup of mix) / (6 pancakes) = (1 cup of mix) / (x pancakes)
To solve for x (the number of pancakes you can make with 1 cup of mix), we can cross-multiply:
(2/3) * x = 6 * 1
Next, simplify the equation by multiplying:
2x/3 = 6
To get rid of the fraction, we can cross-multiply one more time:
2x = 6 * 3
Solving the equation further:
2x = 18
x = 9
So, with 1 cup of pancake mix, you can make 9 pancakes.
To determine the number of pancakes you can make with 2 cups of pancake mix and 3 1/3 cups of pancake mix, you can apply the same process.
For 2 cups of mix, the proportion would look like this:
(2 cups of mix) / (x pancakes) = (2/3 cup of mix) / (6 pancakes)
Again, you can cross-multiply:
(2/3) * x = 6 * 2
Simplifying:
2x/3 = 12
To get rid of the fraction:
2x = 12 * 3
Solving the equation:
2x = 36
x = 18
Therefore, with 2 cups of pancake mix, you can make 18 pancakes.
For 3 1/3 cups of pancake mix, the proportion becomes:
(3 1/3 cups of mix) / (x pancakes) = (2/3 cup of mix) / (6 pancakes)
Cross-multiplying:
(2/3) * x = 6 * (10/3)
Simplifying:
2x/3 = 20/3
To eliminate the fraction:
2x = (20/3) * 3
Solving the equation:
2x = 20
x = 10
Thus, with 3 1/3 cups of pancake mix, you can make 10 pancakes.
In summary:
- With 1 cup of mix, you can make 9 pancakes.
- With 2 cups of mix, you can make 18 pancakes.
- With 3 1/3 cups of mix, you can make 10 pancakes.