Showing posts with label Oreos. Show all posts
Showing posts with label Oreos. Show all posts

Monday, September 12, 2022

Oreos And Math

I read various sites and came across a really interesting article about Oreos.  It seems as if Oreos make it into the news for an assortment of topics.  Over time, Oreos have made the news for ratios, fillings, and so much more but the latest thing I came across had to do with the perfect length of time one needs to dunk an Oreo cookie in milk. 

Apparently the perfect dunk lasts between 3 and 4 seconds but again that depends on how you like your cookie.  Do you like it crisp with a bit of milk, or do you like it mushy?

Apparently, a professor of physics ran some experiments back in the 1990's at the University of Bristol.  He created a controversy when he stated that he could use the mathematical formula for capillary action to determine the answer to the question of dunking Oreos in milk. In case you are a bit rusty, water molecules have the ability to stick to solid surfaces. When water enters small tubes, it can seem to crawl up the tube as seen in straws or in paint brushes. 

In other words, its the capillary action which helps milk spread through the small holes in cookies. As a matter of fact, an American scientist created the formula for this as applied to milk.  Basically, it states that the distance the milk must travel is equal to the surface tension of milk times the average diameter all divided by four times the viscosity of milk.  

Originally, the scientist applied the formula to ink and how fast it spread in ink blots but it was the British gentleman who applied the same formula to baked goods. After he determined which numbers were best for the variables, he rewrote the equation to solve for time since the question referred to the time you dunked a cookie.  He actually used a standard British cookie and discovered the time ran between 3.5 and 5 seconds but he didn't use Oreos at all.

In 2016, another group decided to test Oreos using the formula along with Chips Ahoy, Nutter Butters, and Graham Crackers. They collected data by dunking each brand halfway into 2 percent milk for times ranging from half a second to seven seconds.  They discovered that Oreos absorbed 50 percent of their potential liquid weight in one second, 80 percent in two seconds and by the fourth second, it reached it maximum and could not absorb any more. They concluded that after 5 seconds, the cookies were unable to absorb any more milk.

Then this same lab dunked each brand of cookie into water for six seconds and then hung them up to see how long it was before they collapsed.  Graham Crackers only lasted eight seconds while Oreos lasted a full five minutes. Their final conclusion on the Oreos was that the optimum dunking time is at three seconds for maximum saturation and if you dunk more than four seconds, there is no additional benefit.  

However, there is one more factor in this scenario.  If you change the amount of fat in the milk, it could change the conclusion because the fat in the milk can slow down the absorption of milk.  Furthermore, the sugar in the milk can also effect the absorption rate so be aware of that.  So there you are, the mathematics behind the conclusion of why the ideal dunking time is between three to four seconds.  Let me know what you think, I'd love to hear.  Have a great day.






Monday, October 9, 2017

Oreos and Math.

Cake, Pastry, Sweet, Sugar, Unhealthy The other day I popped into the store and the cookie aisle caught my attention.  I remember eating them as a child when I visited friends houses.  We always had cookies made from scratch at our house so having a store bought one was a huge treat.

So I went and looked up information on the cookies and found some really cool information, some of which is actually mathematical.

For instance, when students ask about ratios in real life, you can tell them that all oreos are made with a 71 percent cookie to 29 percent filling ratio.  In addition the double stuff does not have double the stuffing.  A math class in New York checked it out and discovered the filling is only 1.86 times more. The mega stuff oreo advertised they had triple the filling but in reality it was only 2.68 times.

Now back to the cookie filling ratio.  The company makes 123,000 tons of creme every year to fill those cookies.  Let the students figure how how many tons of cookies are made.

More than 500 billion cookies have been sold since 1912.   To get an idea of that number, if you lined the cookies up end to end, the line would go around the earth at least 312 times.  The circumference of the earth is just over 24,900 miles.  Let the students figure out how many miles that is.

In addition, if you stack that same number of cookies one on top of the other, the stack can go from the earth to the moon and back 8 times.  The distance is 238,900 miles between the earth to the moon.  Let them figure out the distance 8 times represents. 

The creation of one oreo from start to finish takes 59 minutes.  Every cookie bakes for exactly 290.6 seconds.  Let students figure out what percent of the 59 minutes that is.

Another interesting fact is that in 2011 - 35 billion cookies sold in one year, 10 billion were sold in the United States alone.   The rest were sold to the other 99 counties who sell it.  So on average, how many were sold in these countries.

Lots of nice real world math provide by the history and current facts for Oreo cookies.

Let me know what you think.