A granola bar recipe calls for 4 1/2 cups of granola for every 1 1/3 cups of chopped nuts. Could you increase the recipe proportionately by using 9 cups of granola and 6 cups of chopped nuts?

Respuesta :

again, let's change the mixed fractions to improper, and check the proportions for each.


[tex]\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}~\hfill \stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{~~\frac{9}{2}~~}{\frac{4}{3}}=\cfrac{9}{6}\implies \cfrac{9}{2}\cdot \cfrac{3}{4}=\cfrac{3}{2}\implies \cfrac{27}{8}\ne \cfrac{3}{2}~~\bigotimes[/tex]