Question

Becca has a biscuit recipe that uses 2/3 of a tablespoon of salt for every 3/4 of a cup of flour. In order to have enough biscuits for her family that is visiting, Becca is making a batch of biscuits using 3 cups of flour and how many tablespoons of salt.

Answer 1

`\bf \begin{array}{ccll} \stackrel{tablespoons}{salt}&\stackrel{cups}{flour}\\ \cline{1-2} (2)/(3)&(3)/(4)\\\\ x&3 \end{array}\implies \cfrac{~~(2)/(3)~~}{x}=\cfrac{~~(3)/(4)~~}{3}\implies \cfrac{~~(2)/(3)~~}{(x)/(1)}=\cfrac{~~(3)/(4)~~}{(3)/(1)}`

`\bf \cfrac{2}{3}\cdot \cfrac{1}{x}=\cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{4}\cdot \cfrac{1}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{2}{3x}=\cfrac{1}{4}\implies 8=3x\implies \cfrac{8}{3}=x\implies 2(2)/(3)=x`