Question

In ¾ pound of a banana bread, there is ½ cup of cinnamon. How much cinnamon does the bread contain per pound?

Answer 1

1 pound of bread contains
`(2)/(3)` cups of cinnamon.

Solution:

Given that , In
`(3)/(4)` pound of a banana bread, there is
`(1)/(2)` cup of cinnamon

To find:

Amount of cinnamon per pound in bread

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

`(3)/(4)` pound of banana bread ⇒
`(1)/(2)` 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)

`\begin{array}{l}{\rightarrow n * (3)/(4)=(1)/(2) * 1} \\\\ {\rightarrow n * (3)/(4)=(1)/(2)} \\\\ {\rightarrow n=(1)/(2) * (4)/(3)} \\\\ {\rightarrow n=(2)/(3)}\end{array}`

Hence, 1 pound of bread contains
`(2)/(3)` cups of cinnamon.