A recipe calls for 13 teaspoon of salt and 34 cup of flour. To maintain the ratio, how many cups of flour should be mixed with 1 teaspoon of salt? Express the answer in exact decimal form.

Answer 1

To maintain the ratio, we want to determine how many cups of flour should be mixed with 1 teaspoon of salt.

Let's define the variable $x$ as the number of cups of flour that should be mixed with 1 teaspoon of salt.

We can set up a proportion to solve for $x$:

$$\frac{34\text{ cups of flour}}{13\text{ teaspoons of salt}}=\frac{x\text{ cups of flour}}{1\text{ teaspoon of salt}}$$

Cross-multiplying gives us:

$$13x=34\text{ cups of flour}$$

To isolate $x$, we divide both sides of the equation by 13:

$$x=\frac{34\text{ cups of flour}}{13}$$

Evaluating the expression gives us $\boxed{2.615\text{ cups of flour}}$.