A recipe calls for 3 parts water to 2 parts oats. Misty mixes 3/4 cup of water with 1/2 cup of oats. Is Misty following this recipe?

Question

Can you please add in the reply, how you did it?? I really dont get this problem.

Answer 1

Hi Joan,

 

When a question is saying something is X parts this and Y parts that, it is providing you a ratio of X to Y. The ratio of 3:2 here means that for every 3 waters you need 2 oats. 

 

 

So the question is asking if Misty mixed 3/4 of a cup of water and 1/2 (or 2/4) of a cup of oats, is this following the recipe that requires 3 things of water to 2 things of oats? Since we changed our 1/2 to 2/4, that means we have a common denominator (4). So we have 3/4 water and 2/4 oats giving us a ratio of 3:2(must have a common denominator for this to work), so yes, Misty is following this recipe. 

 

Let me know if you have any more questions,

Brittany

Answer 2

1/2 = 2/4

 

3 : 2 :: 3/4 : 2/4  ?

6/4 = 6/4                product of means/extremes

 

Yes, the proportion is true.

Answer 3

Set the ratio up as a fraction of equality:

water      3         3/4

------ →  ---  =?  -----

 oats       2         1/2

 

Remember, these are fractions,

and to simplify, divide the numerator

by the denominator, so...

 

3/4 ÷ 1/2

The method for dividing by a fraction

is to invert the second one, then

multiply across, so

 

3/4 x 2/1 = 6/4

 

We began with 3/2, and now comparing

it to 6/4 for equality. To do this, make

both denominators equal, in this case, 4.

 

6/4 = 6/4.

Yes, she is following the recipe.

 

Go Get Your "A"