Question

for every 5 tacos,julianna uses 2 cups of shredded cheese. complete the table to show the relationships between the number of tacos and the number of cups of cheese

Answer 1

For 5 taccos 2 cups cheese is needed.

So 10 taccos is 2*(5 taccos)=2*2 cups cheese =4cups

$\begin{gathered} As\text{ 5 taccos=2cup cheese} \\ 1\text{ tacco=}\frac{2}{5}\text{cup cheese} \\ As\text{5 taccos=2cup cheese} \\ 1\text{ cup cheese=}\frac{5}{2}\text{taccos} \\ So\text{ 10 tacco=10}\ast\frac{2}{5}\text{cup cheese=2}\cdot2=4\text{cups} \\ 10\text{ cup cheese =10}\ast\frac{5}{2}\text{tacco}=5\ast5=25tac\cos \end{gathered}$$35\text{ taccos}=35\ast\frac{2}{5}=7\cdot2=14\text{ cup cheese}$$24\text{ cup cheese=}24\ast\frac{5}{2}=12\ast5=60tac\cos$

So to convert taccos to cups of cheese multiply by 2/5 and from cups of cheese to taccos multiply by 5/2.