Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe. Fraction

Answer 1

Let's say x is the amount of flour (in cups) in the original recipe.
The original recipe combines x cups of flour and 2 cups of sugar, which totals x+2 cups.
Since 2 1/2 cups is the combined amount of flour and sugar in Kendra's recipe, we can set up the equation x+2=2 1/2.
To simplify, we'll convert 2 1/2 to an improper fraction: 2+1/2=5/2.
So our equation is x+2=5/2.
To isolate x, we'll subtract 2 from both sides: x=5/2-2.
To subtract the fractions, we need a common denominator, which is 2. So we'll rewrite 2 as 4/2: x=5/2-4/2.
Subtracting the fractions, we get: x=1/2.
Therefore, the original recipe called for 1/2 cup of flour.