If a recipe calls for 1 cup of sugar makes 12 muffins and you use two thirds of sugar how many muffins can you make
2/3 * 12 = 8 muffins
To solve this problem, we can set up a proportion based on the amount of sugar used and the number of muffins made.
Let's call the number of muffins you can make "x".
The proportion would be:
1 cup of sugar / 12 muffins = 2/3 cup of sugar / x muffins
To find the value of "x" (the number of muffins you can make), we can cross multiply and solve for "x".
First, we'll multiply both sides of the equation by 12 (to eliminate the fraction):
(1 cup of sugar / 12 muffins) * 12 = (2/3 cup of sugar / x muffins) * 12
Simplifying:
1 cup of sugar = (2/3 cup of sugar) * (12 muffins / x muffins)
Next, we'll cross multiply:
1 cup of sugar * x muffins = (2/3 cup of sugar) * 12 muffins
Simplifying further:
x cup of sugar*muffins = (2/3 cup of sugar) * 12 muffins
Now we can cancel out the unit of "cup of sugar" on both sides of the equation:
x muffins = (2/3 cup of sugar) * 12 muffins / cup of sugar
Simplifying the right side:
x muffins = 24 muffins / 3
Finally, we get the value of "x":
x muffins = 8 muffins
Therefore, if you use two-thirds of a cup of sugar, you will be able to make 8 muffins.