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.

Question

s = 3/2 b
f = 3s

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

Answer 1

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

1. We have the equations:

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

2. Substitute \( s \) in the equation for \( f \): \[ f = 3\left(\frac{3}{2} b\right) \]

3. Simplifying this: \[ f = \frac{9}{2} b \]

Thus, the equation that relates the number of cups of butter to the number of cups of flour is: \[ f = \frac{9}{2} b \]

or equivalently, you could express it as: \[ b = \frac{2}{9} f \] if you need the equation in terms of \( b \).