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?????
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.
\(\frac{2}{5}x=16\)
\(\frac{2x}{5}=16\)
\(x=\frac{5\times 16}{2}=\frac{80}{2}\)
\(x=40\)
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.
\(\frac{24}{\frac{2}{3}}=\frac{24\times 3}{2}\)
\(\frac{72}{2}=36\)
Hence, he make 36 batches of muffins.