Chan Barber
06/13/2023 · Primary School
A cake recipe says to use 3 cups of flour for every 2 cakes. Write a proportional equation to calculate the amount of flour needed, \( f \), for any number of cakes, \( c \).
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Tutor-Verified Answer
Step-by-step Solution
To create a proportional equation for the amount of flour needed for any number of cakes, we start with the given ratio of flour to cakes. The recipe states that 3 cups of flour are needed for 2 cakes.
We can express this relationship as a fraction:
\[
\frac{3 \text{ cups of flour}}{2 \text{ cakes}}
\]
To find the amount of flour \( f \) needed for \( c \) cakes, we can set up the following proportional equation:
\[
\frac{f}{c} = \frac{3}{2}
\]
To solve for \( f \), we can cross-multiply:
\[
f = \frac{3}{2}c
\]
Thus, the proportional equation to calculate the amount of flour needed for any number of cakes \( c \) is:
\[
f = \frac{3}{2}c
\]
Quick Answer
The proportional equation is \( f = \frac{3}{2}c \).
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