shawn has $\frac{3}{4}$ cups of flour, but that is only 30% of the amount of flour required by a recipe. how…

shawn has $\frac{3}{4}$ cups of flour, but that is only 30% of the amount of flour required by a recipe. how much flour does the recipe require?

shawn has $\frac{3}{4}$ cups of flour, but that is only 30% of the amount of flour required by a recipe. how much flour does the recipe require?

Answer

Explanation:

Step1: Define required flour as $x$

Let $x$ = total flour (cups) recipe needs.

Step2: Set up percentage equation

$30% \times x = \frac{3}{4}$ Convert 30% to fraction: $\frac{30}{100}x = \frac{3}{4}$ or $\frac{3}{10}x = \frac{3}{4}$

Step3: Solve for $x$

Multiply both sides by $\frac{10}{3}$: $x = \frac{3}{4} \times \frac{10}{3}$ Simplify: $x = \frac{10}{4} = \frac{5}{2}$

Answer:

$\frac{5}{2}$ cups (or 2.5 cups)