A cookie recipe called for 3 ¼ cups of sugar for every 2 ⅓ cups of flour. If you made a batch of cookies using 4 cups of flour, how many cups of sugar would you need?

Respuesta :

1) Gathering the data

3 ¼ cups of sugar------------------ 2 ⅓ cups of flour

x 4

2) Let's set a proportion, and then cross multiply those ratios but before that

let's convert those mixed numbers:

[tex]\begin{gathered} 3\frac{1}{4}=\frac{4\times3+1}{4}=\frac{13}{4} \\ 2\frac{1}{3}=\frac{3\times2+1}{3}=\frac{7}{3} \end{gathered}[/tex][tex]\begin{gathered} \frac{13}{4}-----\frac{7}{3} \\ x\text{ -------4} \\ \frac{7}{3}x=4\times\frac{13}{4} \\ \frac{7}{3}x=13 \\ 7x=39 \\ x=\frac{39}{7} \end{gathered}[/tex]

So rewriting it above, we have. 39/7 as 39/7 is >1 then we can rewrite it into a Mixed Number:

3) Hence, I'll need 5 4/7 cups of sugar

Ver imagen KaisanA23418