MATH SOLVE

1 month ago

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

Accepted Solution

A:

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 cinnamonTo find:Amount of cinnamon per pound in breadLet "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.