Question

3. A baker uses 1 tablespoon of vanilla extract for a recipe that makes 24

cupcakes. If the amount is directly proportional to the number of cupcake
how much vanilla extract is needed for a recipe that makes 48 cupcakes?

Answer 1

To find the amount of vanilla extract needed for a recipe that makes 48 cupcakes, set up a proportion and solve for x. The amount of vanilla extract is directly proportional to the number of cupcakes, so use cross-multiplication to find the value of x. In this case, x = 2 tablespoons.

Step-by-step explanation:

To find the amount of vanilla extract needed for a recipe that makes 48 cupcakes, we can set up a proportion. Since the amount of vanilla extract is directly proportional to the number of cupcakes, we can write the proportion as:

1 tablespoon / 24 cupcakes = x tablespoons / 48 cupcakes

Cross-multiplying, we get:

24x = 1 * 48

Simplifying, we find that x = 2 tablespoons. Therefore, 2 tablespoons of vanilla extract is needed for a recipe that makes 48 cupcakes.

Learn more about Proportions in mathematics