A baker bought some flour. He used 2/5 of the flour to make bread and used the rest to make batches of muffins. IF he used 16 lb. Of flour making bread and 2/3 lb. For each batch of muffins, how many batches of muffins did he make?????

Respuesta :

36. He had a total of 40 lb of flour, and used 16 for bread, leaving him with 24 lb. 24 divided by 2/3 is 36. 

Answer:

He make 36 batches of muffins.

Step-by-step explanation:

Consider the provided information.

It is given that he used 2/5 of the flour for bread, and he used 16lbs for bread.

Let total amount of flour is x lbs, now convert above statement into mathematical form.

[tex]\frac{2}{5}x=16[/tex]

[tex]\frac{2x}{5}=16[/tex]

[tex]x=\frac{5\times 16}{2}=\frac{80}{2}[/tex]

[tex]x=40[/tex]

Therefore, he bought 40 lbs of flour.

He used 16 lb out of 40.

So for muffins he left with 40-16=24 lbs of flour.

It is given that he used 2/3 lb. For each batch of muffins.

Divide 24 with 2/3 lb.

[tex]\frac{24}{\frac{2}{3}}=\frac{24\times 3}{2}[/tex]

[tex]\frac{72}{2}=36[/tex]

Hence, he make 36 batches of muffins.