Weight of Ingredients in Cookie Recipe

In a bakery, a chef is preparing a special batch of cookies. The recipe requires a mix of three ingredients: flour, sugar, and chocolate chips. The chef uses a total of 4.5 pounds of these three ingredients combined. The relationship between the ingredients is as follows:

For every pound of flour, there are 0.25 pounds of sugar and 0.75 pounds of chocolate chips.

Let:

- $f$ be the pounds of flour,

- $s$ be the pounds of sugar, and

- $c$ be the pounds of chocolate chips.

The total weight of the ingredients can be expressed as:

$$f + s + c = 4.5$$

Using the relationships given, express $s$ and $c$ in terms of $f$:

$$s = 0.25f$$

$$c = 0.75f$$

Substituting these expressions into the total weight equation yields:

$$f + 0.25f + 0.75f = 4.5$$

Solve for $f$ to find the weight of flour used. Finally, round your answer to the nearest hundredth and enter that value in the grid.