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Amanda makes chocolate chip cookies. she uses the given equations to relate the number of cups of butter, b, sugar, s, and flour, f, that should be used.

s = 3/2 b
f = 3s

create an equation that relates the number of cups of butter and the number of cups of flour.

f = ___

1 answer

To create an equation that relates the number of cups of butter (\(b\)) and the number of cups of flour (\(f\)), we can substitute the expression for sugar (\(s\)) into the equation for flour (\(f\)).

Given:

  1. \(s = \frac{3}{2} b\)
  2. \(f = 3s\)

We can substitute \(s\) into the equation for \(f\):

\[ f = 3s = 3\left(\frac{3}{2} b\right) \]

Now, simplifying this:

\[ f = \frac{9}{2} b \]

So, the equation that relates the number of cups of butter and the number of cups of flour is:

\[ f = \frac{9}{2} b \]