Chef Julius Grayson had an empanada recipe that called for 3/4 lb onions and 1 1/3 lbs of pork. He was preparing the recipe for a special event and needed to quadruple it to make enough for all of his guest. How many pounds of pork would he need for the recipe
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Because the question only asks about how much pork will be needed, focus on the amount called for in the recipe, 1 1/3 pounds.
He needs to make four times what the original recipe calls for, so the solution will be 4 x 1 1/3.
To keep things clear we change each of these numbers to an improper fraction.
4 becomes 4/1 (any number divided by one is equal to the original number)
1 1/3 becomes 4/3 (the whole one is divided into three parts then the one part from the original fraction is added)
To multiply 4/1 and 4/3 first we multiply the numbers of the numerator, 4 x 4, and make that our new numerator, 16. Then we multiply the numbers of the denominator, 1 x 3, and get a new denominator of 3. Our result is 16/3. Because this is still an improper fraction we can simplify by dividing 16 by 3. Since 3 x 5 is 15, the simplified result is 5 1/3.
The chef will need 5 1/3 pounds of pork to quadruple the recipe.
Recipe requirement = 3/4 lb onions + 1 1/3 lbs pork
= 3/4 lb onions + 4/3 lb pork
Now to meet enhanced requirement i.e. to quadruple it , the requirement needs to be multiplied with 4.
So to quadruple it , Recipe requirement = 4*(3/4 lb onions + 4/3 lbs pork)
= (4*3/4 lbs of onions + 4*4/3 lbs of pork)
= 3 lbs of onion + 16/3 lbs lbs of pork
So , `5 1/3` pounds of pork is required for the recipe.
First of all Doubling means multiplying with 2, Tripling means multiplying with 3, Quadrupling means multiplying with 4.....
To prepare a recipe It requires 3/4 lbs of Onions and 1 1/3 lbs of pork
1(1/3) = 4/3
Now the recipe was quadrupled.
As we know quadrupling means multiplying with 4.
Now, Onions required = 4*3/4 lbs = 3 lbs
Pork required = 4*4/3 lbs = 16/3 lbs = 5(1/3) lbs
Therefore Pork required is 5(1/3) lbs.
The first step of this question is to focus on the information that you need and eliminate the information that you don't need.
Since the question only focuses on how much pork is needed, we can eliminate the 3/4 lb. of onion. Don't let that figure confuse you - we don't need it.
The problem mentions that the chef will need to quadruple the recipe. "Quad" means 4 - so we need to multiply the amount of pork by 4.
Here we go -
First we need to change 1 1/3 lbs. of port to an improper fraction. The 3 will stay as the denominator. ?/3
The next step is to take the denominator (3) and multiply it by the whole number (1) - 3*1=3
Then you need to add that to the numerator. 3*1=3 (previous step) + 1 (numerator) 3+1=4
SO - the improper fraction is 4/3
*NOW we can quadruple it*
Remember quadruple is multiplying by 4 - let's make that a fraction too. We can put any whole number over 1 and not change the value of it. So let's call this 4/1.
Now we are multiplying 4/1 by 4/3 (remember our improper faction we made).
Multiply the numerators 4*4 = 16
Multiply the denominators 1*3 = 3
Our new answer is 16/3
That amount of pork is very hard to find at the store. So we need to turn this improper fraction to a mixed number.
Let's divide the 16 by the 3 and see what happens….
3 goes into 16 5 whole times, 3x5 = 15 (but our number was 16 so we have 1 left over)
GUESS WHAT! 5 is our new whole number, the 1 left over is our numerator and the 3 is the denominator!
***SOOOOOO the chef will need 5 1/3 lbs. of pork***
Original recipe 1 1/3 lbs of pork
Quadruple means 4 times.
1 lbs x 4 = 4 lbs
1/3 lbs x 4 = 4/3 lbs = 1 1/3 lbs
4 + 1 1/3 = 5 1/3 lbs of pork
Answer: 5 1/3 lbs of pork
1 1/3 = amount of park in recipe
4/3 = amount of pork in recipe written as an improper fraction
(4/3)*4 = 16/3 or 5 1/3 amount of pork when recipe is quadrupled
Begin by converting 1 1/3 into an improper fraction: 4/3
Then quadruple 4/3 by multiplying it by 4: 4/3 * 4/1 = 16/3
Finally, convert 16/3 back into a mixed number: 5 1/3
5 1/3 lbs of pork
The first thing I would do to determine the answer to this problem is to figure out what is unneeded information. Since you are only needing to know how many pounds of pork you need after you have quadrupled the recipe, the amount of onions is not needed.
So take the weight of the pork:
1 1/3 and multiply it by 4 (definition of quadruple)
1 1/3 = 4/3
4/3 * 4 = 16/3 = 5 1/3 lbs of pork
1 1/3 x 4 would give you the amount of pork needed since quadrupole means times by 4.
convert 1 1/3 to a improper fraction
then multiply by (4) 4/3(4)= 16/3
simplify the fraction 16/3 3 goes into 16 5 times with 1 left over so you would need 5 1/3 lbs of pork.
1/3 x 4 = 1 1/3
1 x 4 = 4
4 + 1 1/3 = 5 1/3
Hello! This question solution is a good example of math application on our daily problems: cooking is a delicious way of checking our knowledge over volumes, scales and temperature concepts, for example. Let get into it:
1. Is the numbers on the format you desire? No! So, lets make them look better:
`3/4` lb OK
1 `1/3` lb isn't OK... This is on an general format than can be represented by a `b/c` that can be represented by `(c*a+b)/c` , so 1 `1/3` =`(3*1+1)/3` =`4/3` ` `
Alright! The question says that the recipe needs to be quadrupled. What is that? Quadruple reminds about 4, while double is about 2 and triple is about 3. Everytime you have one of those words, you will need to consider multiply by the correlated number: for quadruple, *4. Right? So, let's go:
For onions: `` =``
For Pork: `4/3 *4 = 16/3 = 15/3 + 1/3 = 5 +1/3` , which can be represented by `5 1/3`
Answer: He would need `5 1/3` lb of pork for the recipe.``
To "quadruple", which is the essence of the problem asked here, means to multiply the original (or base) amount by 4. Since the question asks how much pork will we need if we "quadruple" the original amount in the reciple (1 and 1/3 lbs of pork), we simple multiply the original amount by 4. It will look like this:
1 and1/3 x 4 = 5 and 1/3.
So the correct answer is -
5 and 1/3 lbs of pork.
1 and 1/3 is the answer. You can look at it several ways....
quad means 4, so it's four times the original amount. 1/3 + 1/3 +1/3 +1/3 equals 4/3, which can be converted to 1 and 1/3.
An easier way would be to multiply 1/3 times 4, which would yield the same answer. Just remember, when you multiply, you apply the operation to both the top and bottom. (4 times 1 and 3 times 1).
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