carol is baking cookies and needs 2 and 1/4 cups of flour, 2/3 cup of white sugar, 1/4 cup of brown suga, and 1/16 cup of baking soda. use this information to answer the following question.

- if the amount of white sugar were increased by a factor of 2 and 1/2, in cups, how much sugar would there be?
A. 2 and 1/2
B. 2 and 3/5
C. 1 and 2/3
D. 1 and 3/5

Question

carol is baking cookies and needs 2 and 1/4 cups of flour, 2/3 cup of white sugar, 1/4 cup of brown suga, and 1/16 cup of baking soda. use this information to answer the following question.

- if the amount of white sugar were increased by a factor of 2 and 1/2, in cups, how much sugar would there be?
 A. 2 and 1/2
 B. 2 and 3/5
 C. 1 and 2/3
 D. 1 and 3/5

anonymous · Answer

will fan and medal !

anonymous · Answer

i think all u have to do is add the two fractions together. ( 2/3 + 2  1/2)

johnweldon1993 · Answer

No see I was all confused...this wording sucks

johnweldon1993 · Answer

It asks for TOTAL sugar...so I was adding white and brown together and was like...umm...no answer

johnweldon1993 · Answer

But I guess all they want is White sugar sooo

$$\large \text{Total Sugar} = \text{White Sugar} + \text{Brown Sugar}$$

White sugar = 2/3 cup

If the white sugar is increased by a factor of 2 1/2 we have multiplication:

$$\large\text{White sugar} = \frac{2}{3} \times \frac{5}{2} = \frac{10}{6} = 1\frac{2}{3}$$

johnweldon1993 · Answer

That top line was my original thinking...the total = white + brown...but just ignore that

anonymous · Answer

i just copied and pasted it from my work lol i know its confusing theres like 3 more problems and im pellet with fractions

johnweldon1993 · Answer

Well look at what I did and let me know if anything doesn't make sense :)

anonymous · Answer

all u have to do is add the amount of white sugar it says then add what it tells u to... i dont get why ur multiplying...?

johnweldon1993 · Answer

"increased by a factor of 2 1/2"

increasing by a factor means multiplication :)

anonymous · Answer

i feel dumb lol

johnweldon1993 · Answer

Dont...not at all lol fractions are confusing for many people so dont feel dumb :)

anonymous · Answer

can u answer another 1 or 2...?

johnweldon1993 · Answer

...perhaps lol

anonymous · Answer

if the amount of flower were increased by a factor of 2 and 1/2 in cups how much flour would there be..? the original amount of flower is 2 and 1/4

johnweldon1993 · Answer

Okay so same here

original = 2 1/4

Increased by a factor of 2 1/2

So $$\large \frac{9}{4} \times \frac{5}{2} = ?$$

anonymous · Answer

sorry i had to takemy dog outside

anonymous · Answer

5 and 5/8 ..?

johnweldon1993 · Answer

Perfect!

anonymous · Answer

yayy! okay, if only 1/4 the amount of brown sugar were used how much brown sugar would be used ..?

johnweldon1993 · Answer

What is 1/4 of 1/4?

$$\large \frac{1}{4} \times \frac{1}{4} = ?$$

anonymous · Answer

1/16..?

johnweldon1993 · Answer

correct again :)

anonymous · Answer

last one lol! if only 1/4 the amount of baking soda in the recipe were used, how much baking soda was used..?

johnweldon1993 · Answer

What is 1/4 of 2 1/4?

$$\large \frac{1}{4} \times \frac{9}{4} = ?$$

anonymous · Answer

2 and 1/5..?

anonymous · Answer

wait thats wrong

anonymous · Answer

9/16 ii added the first time lol

johnweldon1993 · Answer

Lol there ya go :)

anonymous · Answer

can that be simplified...?

johnweldon1993 · Answer

Well are there any numbers that go into by 9 and 16 evenly?

anonymous · Answer

cause 9/16 isnt one of my choices lol

anonymous · Answer

my choices are
 A. 1/64
 B. 1/20
 C. 1/16
 D. 1/4

johnweldon1993 · Answer

Oh omg I used the flour not the baking soda XDD sorry about that

$$\large \frac{1}{4} \times \frac{1}{16}$$

anonymous · Answer

its fine lol and sorry my laptop decided to restart its self

anonymous · Answer

1/64

johnweldon1993 · Answer

there ya go...and no im sorry lol

anonymous · Answer

haha its fine i messed up to !