you are working as an assistant to a chef. the chef has 8 cups of berries and will use 2/3 cup of berries for each dessert he makes. how many desserts can he make?
zero because assistants don't know anything and only the chef can cook
jk
ok so how many 2/3's are in 8?
easy way to compar is
make 8 into a fraction over 3
8/1 times 3/3=24/3
how many 2/3 are in 24/3
how many 2's are in 24
12
answer is 12 desserts
we know that
by proportion
\(\frac{(2/3)}{1}\frac{cups}{dessert} =\frac{8}{x} \frac{cups}{desserts}\\ \\\frac{2}{3}\frac{cups}{desserts} =\frac{8}{x} \frac{cups}{desserts} \\ \\2*x=8*3\\ \\x=24/2\\ \\x=12\ desserts\)
therefore
the answer is
\(12\ desserts\)