Respuesta :

1 pound of bread contains [tex]\frac{2}{3}[/tex] cups of cinnamon.

Solution:

Given that , In [tex]\frac{3}{4}[/tex] pound of a banana bread, there is [tex]\frac{1}{2}[/tex] cup of cinnamon

To find:

Amount of cinnamon per pound in bread

Let "n" be the cinnamon per pound present in bread

[tex]\frac{3}{4}[/tex] pound of banana bread ⇒ [tex]\frac{1}{2}[/tex] cup of cinnamon

Then, 1 pound of bread ⇒ n cups of cinnamon

Now, let us use criss cross method (i.e. multiplying the diagonal ordered terms and equating them)

[tex]\begin{array}{l}{\rightarrow n \times \frac{3}{4}=\frac{1}{2} \times 1} \\\\ {\rightarrow n \times \frac{3}{4}=\frac{1}{2}} \\\\ {\rightarrow n=\frac{1}{2} \times \frac{4}{3}} \\\\ {\rightarrow n=\frac{2}{3}}\end{array}[/tex]

Hence, 1 pound of bread contains [tex]\frac{2}{3}[/tex] cups of cinnamon.