Questions: Practice 6.21 flour 0 3 6 9 12 sugar 0 2 4 6 8 The same cake recipe uses 2 cups of sugar for every 3 cups of flour. How much sugar do you need for 18 cups of flour? Submit Problem 4 3 of 9 Next

Solution Steps

The problem states that the ratio of flour to sugar is 3 cups of flour for every 2 cups of sugar.

We need to find out how much sugar is needed for 18 cups of flour. Set up the proportion based on the given ratio: $$\frac{3 \text{ cups of flour}}{2 \text{ cups of sugar}} = \frac{18 \text{ cups of flour}}{x \text{ cups of sugar}}$$

Cross-multiply to solve for $x$: $$3x = 2 \times 18$$ $$3x = 36$$ $$x = \frac{36}{3}$$ $$x = 12$$

Final Answer