Question

A recipe for cupcakes uses 2 1/2 cups of sugar for 3 dozen cupcakes. How many cups of sugar must be used for 9 dozen cupcakes?

Question 18 options:

4


5 1/2


7 1/2


27

Answer 1

i think its A.

Answer 2

It is definitely B because 9 is 3 times as large as 3 and 5 1/2 is 3 times as large as 2 1/2

Answer 3

\[\frac{2.5 \text {cups}}{3 \text{ doz. cakes}} = \frac{\text{ ? cups }}{9\text{ doz. cakes }}\]

Answer 4

Then solve for ?

Answer 5

I don't get it ..
im lost

Answer 6

For three dozen, you need 2.5 cups of sugar.

Answer 7

So \[\frac{2.5}{3}\] for cups over dozen.

Answer 8

does this make sense?

Answer 9

yes

Answer 10

Ok, then for 9 dozen you need ?? cups. where the ?? is what we want to know, but we can set up the fraction the same

Answer 11

So, ?? cups over 9 dozen.

Answer 12

so im basically adding 2.5 cups to 6?

Answer 13

nope, we have two fractions, \[\frac{2.5}{3}\] and \[\frac{??}{9}\].

Answer 14

So C 7 1/2 ?

Answer 15

and is the ratio, or fraction of sugar to cupcakes stays the same, we can just set the two fraction equal.

Answer 16

If we solve for ?, do we get 7.5? \[\frac{2.5 \text {cups}}{3 \text{ doz. cakes}} = \frac{\text{ ? cups }}{9\text{ doz. cakes }}\]

Answer 17

Yea .thats what im getting

Answer 18

\[2.5*9=?*3\]\[2.5*9/3=?\]\[2.5*3=?\]\[\implies ? = 7.5\]

Answer 19

then, yes.

Answer 20

2 more ?

Answer 21

ok

Answer 22

thanks