If you need 2\3rds of a cup of pancake mix that makes 6 pancakes how many pancakes would you make with 1 cup of pancake mix. 2 cups of pancake mix and 3 1\3 of pancake mix? Please help and explain how you solved.
the ratio of cakes/cups is constant
cakes/cups = 6/(2/3) = 9
so use that ratio for your other amounts of cups
To find out how many pancakes you can make with different amounts of pancake mix, you need to determine the ratio between the amount of mix and the number of pancakes it makes.
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.