To solve this equation, we have to set up a proportion, because we want to keep the ratio of butter to sugar equal between the two recipes. Let x represent the amount of sugar that we are trying to find.
1/4 cup butter/3/8 cup sugar = 1 cup butter/ x cup sugar
To solve this proportion, we need to use cross products, or the multiplication of the numerator of one fraction by the denominator of the other, and setting them equal to one another. If done properly, the resulting equation is:
1/4x= 3/8
Finally, we just need to divide both sides by 1/4, which is the coefficient of x, as we are trying to get x alone. Your final answer is
x=1.5.
Therefore, this means that if Izzy uses 1 cup of butter, she would use 1 1/2 cups of sugar.
