a recipe reqiures 3 cups of sugar for every 4 cups of flour if the baker uses 2 cups of sugar how much flour should the baker use

Answer 1

To find out how much flour the baker should use with 2 cups of sugar, we can set up a proportion based on the original ratio of sugar to flour.

The original ratio is:

• 3 cups of sugar : 4 cups of flour

We can express this as a fraction: \[ \frac{3 \text{ cups of sugar}}{4 \text{ cups of flour}} = \frac{2 \text{ cups of sugar}}{x \text{ cups of flour}} \] where \( x \) is the amount of flour we want to find.

Now we can cross-multiply to solve for \( x \): \[ 3x = 4 \cdot 2 \] \[ 3x = 8 \] Now, divide both sides by 3: \[ x = \frac{8}{3} \] \[ x \approx 2.67 \]

So, the baker should use approximately 2.67 cups of flour (or \( \frac{8}{3} \) cups).