Question

charlie has 12 1/2 cups of flour. each batch of croissants require 2 3/4 cups of flour. how much more flour will Charlie need to make five batches of croissants

Answer 1

well, we know he has 12½ cups of flour, he'll be using 2¾ cups for each recipe, how many times does 2¾ go into 12½?  well, we can simply divide 12½ by 2¾ firstly, let's convert them both to improper fractions and do so.

$\bf \stackrel{mixed}{12\frac{1}{2}}\implies \cfrac{12\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{25}{2}}~\hfill \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{25}{2}\div \cfrac{11}{4}\implies \cfrac{25}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{11}\implies \cfrac{50}{11}\implies 4\frac{6}{11}$

how much more is needed for 6/11 to become a whole cup?

$\bf \stackrel{1~cup}{\cfrac{11}{11}}\implies \cfrac{6+5}{11}\implies \stackrel{\textit{needs this much}}{\cfrac{6}{11}+\stackrel{\downarrow }{\cfrac{5}{11}}}~\hfill 4+\frac{6}{11}+\frac{5}{11}\implies 4+\frac{11}{11}\implies 5$

Answer 2

Answer:

1 1/4 cup

Step-by-step explanation: