Answer:
2 cups sugar
Step-by-step explanation:
To find out how much sugar is needed for 1 muffin, we need to divide the total amount of sugar by the total number of muffins.
[tex] Sugar \ For \ 1 \ Muffin = \frac{2/3}{12 \ Muffins} [/tex]
To divide a fraction by a whole number, you multiply the fraction by the reciprocal of the whole number. The reciprocal of 12 is ¹⁄₁₂
[tex] Sugar \ For \ One \ Muffin = \frac{2}{3}\times\frac{1}{2}=\frac{2}{3}\times\frac{1}{12}=\frac{2}{36} [/tex]
Now that we know the amount of sugar needed for 1 muffin we can find the total amount of sugar needed for 36 muffins by multiplying this amount by 36
[tex] Total \ Sugar \ For \ 36 \ Muffins = \frac{2}{36}\times36=2 [/tex]
so to make 36 muffins, you'd need 2 cups of sugar.