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 16ib. of flour making bread and 2/3ib.for watch batch of muffins,how many batches of muffins did he make?

Respuesta :

So if 16 is 2/5, then 16 ÷ 2 is 1/5 which is 8. Knowing this, we can multiply 8 by 3 to get the amount of flour he uses in muffins, which is 24. If he uses 2/3lbs for each batch of muffins, then you have to do 24 ÷ 2/3 which is 36. So he makes 36 batches of muffins. Hope this helps!

Answer:

The baker made 36 batches of muffins.

Step-by-step explanation:

Let the total amount of flour be x

We know he used 2/5 of the flour for bread, we also know he used 16 pounds for bread.

We can write this as :

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

Solving this we get;

[tex]2x=80[/tex]

So, x = 40

Means total amount of flour was 40 pounds and he used 16 pounds for bread, so the remaining is for batches of muffins, which is [tex]40-16=24[/tex] pounds

As each batch of muffin uses 2/3 pounds, so 24 pounds of flour will be used to bake :

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

= [tex]\frac{24\times3}{2} =36[/tex]

Hence, the baker made 36 batches of muffins.