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

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.