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Clare has a recipe for yellow cake she uses 9 1/3 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c cakes using f cups of flour. What equation would show the relationship between cake and flour?

Respuesta :

Answer:

[tex]c=\frac{3}{7}f[/tex]

Step-by-step explanation:

Clare uses [tex]9\frac{1}{3}[/tex] cups of flour to make 4 cakes.

Noah follows the same recipe so the ratio of the ingredients used will be proportional.

If Noah uses f cups of flour for c cakes,

[tex]\frac{c}{f} =\frac{4}{9\frac{1}{3}}[/tex]

[tex]\frac{c}{f} =\frac{4}{\frac{28}{3}}[/tex]

[tex]\frac{c}{f} =\frac{4\times 3}{28}[/tex]

[tex]c=\frac{3}{7}f[/tex]

Therefore, relation between cake and flour used is,

[tex]c=\frac{3}{7}f[/tex]

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