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A cake recipe calls for two eggs per cake. Sydney used 20 eggs in this recipe for a bake sale. How many cakes did she bake? 20 cakes 10 cakes 2 cakes 40 cakes

1 Answer

May 9, 2018

$10$ $10$ cakes

Explanation:

Given: cake recipe requires $2$ $2$ eggs per cake. Used $20$ $20$ eggs.

One way to solve is to set up a proportion:

$\frac{2 eggs}{1 cake} = \frac{20 eggs}{x cakes}$ $(2 " eggs")/(1" cake") = ( 20 " eggs")/(x " cakes")$

Use the cross-product to solve: $(\frac{a}{b} = \frac{c}{d}) \Rightarrow a \cdot d = b \cdot c$ $(a/b = c/d) => a*d = b*c$

$2 x = 20$ $2x = 20$

$x = \frac{20}{2} = 10 cakes$ $x = 20/2 = 10" cakes"$

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