Answer: There are 13 batches of muffins if we use all the sugar.
Cost of sugar for each muffins = $ 0.28
Step-by-step explanation:
Since we have given that
Number of one- teaspoon servings is contained in a 4-pound bag of sugar = 454
Cost of 4-pound bags of sugar = $ 3.49
If a batch of muffins uses
[tex]\frac{3}{4}\text{ cup of sugar}[/tex]
[tex]=\frac{3}{4}\times 48=36\text{ tea spoons}\\(1 cup=48\text{ tea spoons})\\[/tex]
Now, we use the unitary method,
[tex]\text{ number of muffins is made by 36 tea spoons}=1\\\text{ number of muffins is made by 1 tea spoons}=\frac{1}{36}\\\text{ number of muffins is made by 454 tea spoons }=\frac{1}{36}\times 454=12.61=13\text{ approx.}[/tex]
so,there are 13 batches of muffins can be made if we use all the sugar.
Cost of sugar for each batch is given by
[tex]\text{Cost for 454 tea spoons }=\$3.49\\\\\text{Cost of 1 tea spoons }=\frac{3.49}{454}\\\\\text{Cost of 36 tea spoons}=\frac{3.49}{454}\times 36=\$0.28[/tex]