A 1-gallon container of milk contains 32 half-cup servings and costs $3.89. A batch of muffins uses 3/5 cups of milk. How many batches can you make if you use all the milk? What is the cost of the milk for each barch

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WaywardDelaney WaywardDelaney · Answer 1 · 2019-11-25T08:35:19+01:00

Answer:

The number of batches can make is [tex]\frac{80}{3}[/tex] And

The cost of milk of each batch is $ 6.483

Step-by-step explanation:

Given as :

A 1 gallon container milk contains 32 half cup serving

I.e 1 gallon container milk contains 16 cup serving

So , The cost of 1 gallon container milk contains 16 cup serving = $ 3.89

Now, 1 batch of muffins uses [tex]\frac{3}{5}[/tex] cups of milk

∵ For [tex]\frac{3}{5}[/tex] cups of milk required 1 batch of muffins

So, For 1 cups of milk will make [tex]\frac{1}{\frac{3}{5}}[/tex] batch of muffins

I.e For 1 cups of milk will make [tex]\frac{5}{3}[/tex] batch of muffins

∴ 16 cups of milk will make [tex]\frac{5}{3}[/tex] × 16 batch of muffins

I.e 16 cup of milk will make [tex]\frac{80}{3}[/tex] batch of muffins

Now, Again

∵ The cost of 16 cup serving = $ 3.89

∴ The cost of [tex]\frac{80}{3}[/tex] batch cup serving = [tex]\frac{3.89}{16} × [/tex] batch[tex]\frac{80}{3}[/tex] batch

I.e The cost of [tex]\frac{80}{3}[/tex] batch cup serving = $ 6.483

Hence The number of batches can make is [tex]\frac{80}{3}[/tex] And The cost of milk of each batch is $ 6.483 Answer