Answer :
Answer:
Option 4 - She went over by one over six of a cup.
Step-by-step explanation:
Given : Laura is baking a cake. The recipe says that she has to mix 64 grams of chocolate powder into the flour.
Laura knows that 1 cup of that particular chocolate powder has a mass of 128 grams. She added two over three of a cup of chocolate powder to the flour.
To find : Should Laura add more chocolate powder to make the exact recipe, or did she go over and by what amount?
Solution :
The required mass of chocolate powder in two over three of a cup of chocolate powder with mass 128 grams.
Multiply 128 by two over three
[tex]128\times \frac{2}{3} =85.33\ gm[/tex]
[tex]85.33\ gm >64\ gm[/tex]
So, Laura added more chocolate powder to make the exact recipe
Now, The amount of chocolate Laura added too much to make the exact recipe
Subtract 64 grams from 85.33 grams
[tex]85.33-64=21.33 gm[/tex]
The amount she needs to add.
Now, 64 grams represent
[tex]\frac{64}{128}=(\frac{64}{64})/(\frac{128}{64})=\frac{1}{2}[/tex] of a cup of chocolate
She added 2/3 of a cup of chocolate powder to the flour.
If we compare:
[tex]\frac{2}{3} =0.67 > \frac{1}{2} =0.5[/tex]
Then, she went over by:
[tex]\frac{2}{3} -\frac{1}{2} =\frac{(2(2)-3(1)}{6}=\frac{4-3}{6}=\frac{1}{6}[/tex]
Therefore, Option 4 is correct.
She went over by one over six of a cup.