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In Mathematics / High School | 2014-11-10

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

Asked by jeannesmith

Answer (2)

x − v ani ll a e x t r a c t F ro m p ro p or t i o n : 5 2 ​ − 6 x − 18 6 x = 5 2 ​ ⋅ 18 6 x = 5 36 ​ ∣ ⋅ 6 1 ​ x = 5 36 ​ ⋅ 6 1 ​ x = 5 6 ​ = 1 5 1 ​ He n ee d 1 5 1 ​ v ani ll a e x t r a c t .

Answered by luana | 2024-06-10

Arthur needs 1 5 1 ​ tablespoons of vanilla extract to make 18 muffins, based on the original recipe which requires 5 2 ​ tablespoons for 6 muffins. We calculated this by finding the amount needed per muffin and then multiplying by the total number of muffins. Thus, for 18 muffins, it amounts to 5 6 ​ tablespoons, which is 1 5 1 ​ tablespoons.
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Answered by luana | 2024-12-26