Since Kendra is making one-fourth of the original recipe, she will need one-fourth of the amount of flour and sugar combined.
Let F be the amount of flour in the original recipe (in cups).
Given that the original recipe calls for 2 cups of sugar, the amount of flour and sugar combined is F + 2.
Since the changed recipe calls for 2 1/2 cups of flour and sugar combined, Kendra will need 1/4 of that amount, which is (1/4)(2 1/2) = 5/4 cups.
Therefore, we have F + 2 = 5/4.
Subtracting 2 from both sides of the equation, we get F = 5/4 - 2.
Multiplying both sides of the equation by 4 to get rid of the denominator, we get 4F = 5 - 8.
Combining like terms, we have 4F = -3.
Dividing both sides of the equation by 4, we get F = -3/4.
However, since the amount of flour cannot be negative, this solution doesn't make sense in this context.
Therefore, there is no valid amount of flour (in cups) in the original recipe.
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.(1 point)
1 answer