A baker started out with 13 cups of flour.She had 9 and 1 four cups of flour left after the first batch of batter she made.She have 6 and 1 half cups of flour left after the second batch of batter she made.If she makes two more batches of batter,how many cups of flour will be left?

Respuesta :

Question is wrong; Correct question is given below;

A baker started out with 12 cups of flour she had 9 1/4 cups of flour left after the first bunch of batter she made she had 6 1/2 cups of flour left after the second bunch of batter she made if she makes two more batches of batter how many cups of batter will be left?

Answer:

Baker will be left with 1 cups of Flour.

Step-by-step explanation:

Given

Amount of flour baker started with = 12 cups

Amount of flour left after making first batter = [tex]9\frac14\ cups[/tex]

[tex]9\frac14\ cups[/tex] can be Rewritten as [tex]\frac{37}4\ cups[/tex]

Amount of flour left after making first batter = [tex]\frac{37}4\ cups[/tex]

Now we can say that;

Amount of flour used to make first batter is equal to Amount of flour baker started with minus Amount of flour left after making first batter

Thus, the Amount of flour she use to make first batter = [tex]20-\frac{37}{4}[/tex]

Now we will use LCM to make the denominator common we get;

Amount of flour she use to make first batter = [tex]\frac{20\times4}{4}-\frac{37\times1}{4\times1} = \frac{48}{4}-\frac{37}{4}[/tex]

Now denominator common so we will solve the numerator we get;

Amount of flour she use to make first batter = [tex]\frac{48-37}{4}=\frac{11}{4}\ cups.[/tex]

Now Given:

Amount of  flour left after the second batch of batter = [tex]6\frac12\ cups[/tex]

[tex]6\frac12\ cups[/tex] can be Rewritten as [tex]\frac{13}2\ cups[/tex]

Amount of  flour left after the second batch of batter = [tex]\frac{13}2\ cups[/tex]

Thus, the quantity she use to make second batter = [tex]\frac{37}{4}-\frac{13}{2}[/tex]

Now we will use LCM to make the denominator common we get;

Amount of flour she use to make Second batter = [tex]\frac{37\times1}{4\times1}-\frac{13\times2}{2\times2}=\frac{37}{4}-\frac{26}{4}[/tex]

Now denominator common so we will solve the numerator we get;

Amount of flour she use to make Second batter = [tex]\frac{37-26}{4}=\frac{11}{4}\ cups[/tex]

Thus, she use [tex]\frac{11}{4}\ cups[/tex]  of flour for each batter.

Amount of Flour used in making 2 more batter = [tex]2\times\frac{11}{4}= \frac{11}{2}\ cups[/tex]

Now we can say that;

Cups of flour left will be equal to Amount of  flour left after the second batch of batter minus Amount of Flour used in making 2 more batter.

framing in equation form we get;

Cups of flour left = [tex]\frac{13}{2}-\frac{11}{2}=\frac{13-11}{2}=\frac{2}{2}=1\ cup[/tex]

Hence Baker will be left with 1 cups of Flour.