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Today the total ticket sale is $11,320 consisting of 38 regular tickets and 80 vip tickets. Yesterday the total ticket sale is $6,800 consisting of 38 regular tickets and 40 vip tickets. What is the price of regular ticket and vip ticket?
Using the calculator shown below, teachers and students can simulate different scenarios by
changing the right hand side value of equation 1, equation 2 or both.
Learning how to write the given condition 1 or constraint 1 that must be satisfied
In Algebra textbook constraint number 1 or condition 1 is written as equation 1. Today's total ticket sale of regular and vip tickets is $11,320 consisting of 38 regular tickets and 80 vip tickets. Using algebra lesson learned to always represent the problem you are trying to solve by a letter variable. You can assign letter variable r = regular ticket price and letter variable v = vip ticket price. Using textbook algebra variable you can assign letter variable x = regular ticket price and letter variable y = vip ticket price. Now you are ready to write the first constraint given.
How much was total sales for regular ticket? you don't know but you know it must be 38 tickets multiply by regular price. Written mathematically as 38 r . How much was total sales for vip ticket? you don't know but you know it must be 80 tickets multiply by vip price. Also you know that the total sale for both regular and vip tickets is $11,320
Written mathematically you will write: 38 r + 80 v = 11,320 this is your given constraint 1 or condition 1 that must be satisfied when you do the validation check.
Learning how to write the given condition 2 or constraint 2 that must be satisfied
For yesterday's total sale,
how much was total sales for regular ticket? you don't know but you know it must be 38 tickets multiply by regular price. Written mathematically as 38 r . How much was total sales for vip ticket? you don't know but you know it must be 40 tickets multiply by vip price. Also you know that the total sale for both regular and vip tickets is $6,800
Written mathematically you will write: 38 r + 40 v = 6,800 this is your given constraint 2 or condition 2 that must be satisfied when you do the validation check.
r +
v =
Equation 1 or Condition 1
r + v = Equation 2 or Condition 2
price of regular ticket, r or x =
price of vip ticket, v or y =
As you can see you can assign any letter variable like r or x and v or y the answer is the same.
This is one example of INVBAT.COM - A.I useful immediately to students, teachers, employees, and parent.
How can you prove that your answer is correct and valid? Simply substitute the value of r and v to equation 1 and equation 2. If you get the answer from equation 1 are both equal then probably the answer is correct. To make sure it is really correct you evaluate equation 2 and if the answer are both equal. Then you have evidence that the answer for r and v is valid and correct for both equations because you have satisfied the two given conditions or constraint otherwise your answer is not valid.
Now student and teacher will no longer need to check the test exam paper because it is done automatically. This will save teacher a lot of time in checking paper.
Learning Algebra is very important skill every student must master. Why? Because algebra give student the training and stamina to press on , to formulate, to grapple with complex problem. It trains student to reflect on their thinking during problem solving process, develop the habits of persistent. It trains them to gather proof and evidence for critical analysis.
Today with machine learning and artificial intelligence the hard part of doing actual computation is now easy as you experience from using this software tool. But the concept of Algebra remains the same. Algebra connect the quantitative relationship of physical things like the price of regular or vip ticket that you want to solve. Algebra deals with representing the physical objects as letter variable like let letter " r " represent the price of regular ticket and let the letter " v " represent the price of vip ticket . Now the teacher job is to help the student to realize that every letter or variable they see in algebraic equation represent a physical object. Trying to convince their student that Algebra is a cool tool because when they are solving algebraic equation they are like playing with physical material in the laboratory but not spending any money for material cost because it is done using paper and pencil or simulation in computer software. Algebra is used in many computer simulation modelling.
When they actually work with actual material things their skills in using Algebra will save them time and money.
How do you know that learning happen in student's brain or knowledge was transferred to student's brain?
Answer:
If the student can remember the procedural instruction how to solve the problem by using his memory only.
INVBAT.COM - A.I. + CHATBOT is very helpful for this kind of knowledge retrieval task because cloud technology have high speed , have large memory capacity and have fast computing power compared to human brain. Therefore human brain need Augmented Intelligence (Au.I.) to manage and control future advancement in Artificial Intelligence (Ar. I ) . Students, teachers, and employees today are busy they need on demand help to quickly review the procedural instruction. They also need automatic calculator for fast solution. By subscribing to INVBAT.COM - A.I. CHATBOT they will get on demand help using their smartphone, tablet, notebook, laptop, desktop, school smartboard, and even company smart T.V. in conference room.
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INVBAT.COM - A.I. is a disruptive innovation in computing and web search technology. For example scientific calculator help us speed up calculation but we still need to remember accurately the formula and the correct sequence of data entry. Here comes the disruptive innovation from INVBAT.COM-A.I. , today the problem of remembering formula and the correct sequence of data entry is now solved by combining formula and calculation and make it on demand using smartphone, tablet, notebook, Chromebook, laptop, desktop, school smartboard and company big screen tv in conference room with internet connection.
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