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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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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