Question

A recipe that makes 6 servings calls for 1/3 cup of sugar. Arlene modifies the recipe so that it can serve 9. How many cups of sugar does Arlene need?

Answer 1

Let's make this info into ratios.
6 servings: 1/3 cup sugar
9 servings: ? cup(s) sugar

Now we turn this into fraction-form ratios:\[\frac{6\text{ servings}}{\frac{1}{3}\text{ cup sugar}}=\frac{9\text{ servings}}{\text{? cups of sugar}}\]Can you solve from here?

Answer 2

Hint: cross-multiply

Answer 3

Are you still stuck?

Answer 4

3?

Answer 5

You solved it? :o

Answer 6

I did? lol awesome

Answer 7

Well, I don't know if your answer is right. I will check, hold on :)

Answer 8

I don't think its correct... 6x3 = 18, 9/3 = 3
18 != 3

Answer 9

Wait, what? @CoconutJJ

Answer 10

6/(1/3) = 6 X 3

Answer 11

...I got \[x=\frac{1}{2}\]I think it's wrong, let me try another approach.
I did not simplify the fraction\[\frac{6}{\frac{1}{3}}\]

Answer 12

Yes x=1/2... 9x2 = 6x3

Answer 13

Oh. Okay.
I was double-checking.

So @Lindsay_552, the answer you got was not right...

Answer 14

You correct, @kittiwitti1

Answer 15

Thank you @CoconutJJ

Answer 16

oh okay lol confussing thanks both of you!

Answer 17

u welcome..

Answer 18

Are you still confused? :c

Answer 19

I can show you the process I went through if you need it. c:

Answer 20

nope i got it thanks!

Answer 21

Alright ^-^

Answer 22

You're very welcome~