Help? The ratio of butter:flour:sugar in a recipe is 1:9:6. Using 8 cups of sugar, how many cups will be used in this recipe( total ) ?

Question

anonymous · Answer

I'll fan anyone and medal who answers

directrix · Answer

What I want to know is if the numbers of cups of the integers have to be whole numbers?

directrix · Answer

@SmartiesNerd    Is one of your answer options a fraction or mixed number?

anonymous · Answer

It's a ratio and yes they have to be whole numebrs

directrix · Answer

Did you state the problem exactly as it appears in the text? Because the problem doesn't say that the cups have to be whole numbers. So, how do you know?

I need to know so I can help with the problem.

anonymous · Answer

Oh well what I wrote is exactly what the problem stated and since we're learning ratios I assumed they would be whole numbers.

directrix · Answer

If you use 8 cups of sugar, then to figure out how to maintain the ratios,

solve 6x = 8 and get 8/6 or 4/3 as the common factor to maintain the ratios.

directrix · Answer

What is 4/3  * 9 =   @SmartiesNerd

anonymous · Answer

I think its 12.

directrix · Answer

B        F        S

1     :9        :6

4/3   12     : 8

anonymous · Answer

Thanks for helping me btw

directrix · Answer

Let's see if that works.

anonymous · Answer

omg. I just noticed that it says to express your answer as a common fraction

anonymous · Answer

I'm so sorry I didn't notice that before

directrix · Answer

9/6 = 12/8  ?

9/12 = 1/(4/3)  ?

1/(4/3)  = 6/8  ?

We have to check these to be sure we kept that original ratio.

directrix · Answer

They are good.

anonymous · Answer

Thank you thank you thank youu

directrix · Answer

Add these:

4/3  +  12 +    8  =  ?    @SmartiesNerd

anonymous · Answer

21.3( continuing )

directrix · Answer

Yes. Call it 21  1/3 because the answer has to be a fraction.

anonymous · Answer

oh ok

directrix · Answer

So, multiply 21 * 3.  To that add 1  --> that sum will be the numerator of the fraction

The denominator will be 3.

anonymous · Answer

Thanks alot for helping me

directrix · Answer

You're welcome but first, what did you get for the final answer?

directrix · Answer

@SmartiesNerd   The answer ?

anonymous · Answer

I got 21 1/3 and when I entered it online it said I was correct but they had it in a mixed fraction form

directrix · Answer

That is what we were doing when you left me.    

>>. So, multiply 21 * 3. To that add 1 

64/3

anonymous · Answer

Thanksss i'm sorry it's just i'm a slow learner

directrix · Answer

I don't agree. 

You are welcome for the help.