A recipe for 15 bran muffins calls for 1 cup of flour. The muffins that can be made varies directly with the amount of flour used. There are 2 1/3 cups of flour available. How many muffins can be made?

Respuesta :

35 bran muffins can be made with 2 1/3 cups of flour.

Step-by-step explanation:

Direct proportion means that the increase in one quantity causes increase in other quantity.

Here,

Let m represent muffins

and

f be the quantity of flour

They are directly proportional

So,

m ∝ f

When the proportionality symbol is removed, a proportionality constant is introduced

[tex]m=kf\\As\ we\ know\\m =15\\when\\k=1\\15 = k *1\\So,\\k=1\\Now\ for\ f= 2\frac{1}{3}=\frac{7}{3}\\m=15 * \frac{7}{3}\\m=5*7\\m=35\ muffins[/tex]

35 bran muffins can be made with 2 1/3 cups of flour.

Keywords: Direct variation, Proportion

Learn more about proportion at:

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