A muffin recipe calls for \(\frac{2}{5}\) tablespoons of vanilla extract to make 6 muffins. Arthur is making 18 muffins. How much vanilla extract does he need?

Im gonna go and guess that 2/5 means two and a half (2.5 or 2,5 I always forget that :D)
Anyway:
2.5 tbsp = 6 muffins 3 2.5 tbsp = 3 6 muffins 7.5 tbsp = 18 muffins

Answered by Jelena | 2024-06-10

Arthur needs 6/5 tablespoons of vanilla extract.
If a muffin recipe calls for 2/5 tablespoons of vanilla extract to make 6 muffins, and Arthur is making 18 muffins, we need to find out how much vanilla extract he will need for the larger batch. To do this, we set up a proportion since the number of muffins increases by a factor of three (from 6 to 18).
Here's the step-by-step calculation:

Firstly, identify the ratio of vanilla extract to muffins in the original recipe, which is 2/5 tablespoons for every 6 muffins.
Since Arthur wants to make 18 muffins, which is three times the original amount, we simply multiply the amount of vanilla extract by three.
(2/5 tablespoons) x 3 = 6/5 tablespoons
Therefore, Arthur will need 6/5 tablespoons or 1 and 1/5 tablespoons of vanilla extract for 18 muffins.

Answered by NeelamY | 2024-06-24

Arthur needs 1.2 tablespoons of vanilla extract to make 18 muffins. This is calculated by first determining the extract needed per muffin from the original recipe and then multiplying by the number of muffins. The total required amount is 1.2 tablespoons.
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Answered by Jelena | 2024-10-02