Sample Application Systems of Linear Equations Two Variables In Problem Stories

Example Problem Story SPLDV - there are so many problems in our daily lives that we can finish the calculation by using two variables Systems of Linear Equations or commonly referred to SPLDV. Typically, the problem is written in the form of word problems.

If previously you've read the explanation Mathematical Formulas Basic of Sample Questions and Discussion Systems of Linear Equations two Variables then examples of questions to be presented this time will be a little different because we will learn how to apply SPLDV to solve word problems. Let us refer to with the discussion of the following:

Application of Systems of Linear Equations Two Variables In Problem Stories


Example Problem 1
In performing arts ticket sold 500 pieces comprising Economy class ticket and tickets Top class. Economy class ticket price is Rp. 6000.00 and Main class is Rp. 8000.00. If the sale of the entire ticket is Rp.3.360.000,00. what is the number of tickets economy class were sold?

Solved:
Eg the number of tickets economy class = a, the number of tickets Main class = b

So
a + b = 500 .... (1)
6000A + 8000b = 3.360.000à 6a + 8b = 3.360 ... (2)
Elimination b
a + b = 500 | x 8
6a + 8b = 3.360 | x 1

8a + 8b = 4000
6a + 8b = 3360 - [1945901million]
2a = 640
a = 320

So the number of tickets economy class ticket sold is 320


Example Problem 2
Dea and Anton worked on bag factory. Dea can complete 3 pieces of bags every hour and Anton can complete four bags every hour. Total hours worked Asti and Anton is 16 hours a day, with the number of bags made by both is 55 bags. If the working hours are both different set their work hours each!

Solved:
Eg working hours Dea = a, working hours Anton = b

Thus
3a + 4b = 55 | x 1
a + b = 16 | x 3

3a + 4b = 55
3a + 3b = 48 - [1945901million]
b = 7
a = 16 -7 = 9

Thus, Dea working for 9 hours and Anton bekera 7 hours in a day
& # 12;


Example Problem 3
Number two numbers is 200. And the difference bilanga it is 108. Specify the number was the largest among them.

Solved:
Eg the largest number a, and the smallest b

So
a + b = 200
a - b = 108 +
2a = 308
a = 154
Thus, the largest number was 154


Example Problem 4
Aldi bought four books and five pencils for USD .24.000,00. ida buy 6 books and 2 pens for Rp. 27200.00. If Mira wants to buy 3 books and 2 pencil how much should be paid Mira?

Solved:
Eg books = b, and pencil = p
4b + 5p = 24000 | x 2
6p + 2p = 27,200 | x 5

8b + 10p = 48,000
30p + 10p = 136 000 - [1945901million]
-22b = 88,000
b = 4000

4 (4000 ) + 5p = 24,000
5p = 8000
p = 1600

3b + 2p = 3 (4000) + 2 (1600) = 15,200

Thus, Mira must pay Rp. 15200.00


Sample Problem 5
A store sells two types of flour as much as 50 kg. I kind Rp.6000,00 flour and flour for the type II Rp. 6200.00. The whole flour sold and traders earn Rp. 306,000.00. Make a mathematical model of persoaan it!

Solved:
Eg heavy flour types I = x and flour type 2 = y

So
x + y = 50
6000x + 6200y = 306,000 à 60x + 62 y = 3,060

So persamaanya is x + y = 50 and 60x + 62 y = 3,060

that's some Example Application Systems of Linear Equations Two Variables in Problem Stories which you can observe and learn to be easier in solving problems like that usually appears on the daily quiz games semester exams. Hopefully what has been described above can be well understood by you. Until we meet again in the discussion material other mathematical problems. Congratulations to learn !!!!

Share to

Facebook Google+ Twitter

Gilalogie

Popular posts from this blog

Units of Size The number of Lusin, Gross, Rim, and Kodi

Unit Size The Number of Lusin, Gross, Rim, And Kodi - When carrying out your daily activities you must have heard some terms like Lusin, Gross, Rim, and Kodi in mathematics the term is called a unit of measure of quantity or quantity. This unit is commonly used to express the number of items or objects. For those of you who do not know or have not memorized by the size of the unit, let us study it together by listening to the discussion The Basic Mathematical Formula on the following unit size sums: The most commonly used unit of measure quantities is : 1 dozen = 12 pieces 1 gross = 144 pieces = 12 Lusin 1 score = 20 pieces ] 1 rim = 500 glue Bar The use of units of measure of the number of Lusin, Gross, Rim, and Kodi The above sizes are usually used in accordance with certain types of goods, for example: Lusin The term dozen is more often used to express the number of items such as glasses, plates, spoons, jars, and so on. [194590007] Rim ...
Read more

Sample Questions and Discussion How to Calculate Distance Point to Line In Cube

Image
Have you already read posts Mathematical Formulas Dasa r regarding How to Calculate Distance point to point, Line, and field ? if not, you should read it first so that you can more easily understand Sample Questions and Discussion How to Calculate Distance Point to Line In Cube which will be described below: Sample Questions and Discussion How to Calculate Distance point to Line In Cube Example Problem 1 Unknown length ABCD.EFGH ribs cube is 6cm. Then calculate the distance: a) .period D to line BF b) .period B to line EG Solved: a ) .Agar easier to answer that, let us look at the picture below: From the above picture we can see that the distance of the point D to the length of the diagonal line BD BF is to be determined by using Teor ema Pythagoras or formula. Let's finish with the theorem of Pythagoras first: BD2 = AB 2 + AD 2 BD2 = 6 2 + 6 2 BD2 = 72 BD = √72 = 6√2 cm beikut if we look for it by using the formula: d = s...
Read more

Example Problem Arithmetic Social About Discount / Rebate

Example Problem Arithmetic Social About Discount / Rebate - the meaning of rebates are rebates granted to a product or service. We are more familiar with rebates as a discount. You'll often see at the supermarket or supermarket there are a lot of rebates or discounts, it is an example of a rebate. If you are curious about how to calculate the price cuts, the Mathematical Formulas Basic will give his review to you through examples to the following: Example Problem Discussion and Arithmetic Social About Rabat Example Problem 1 Melly want to buy a dress for Rp 120,000. It turned out that the clothes receive a rebate of 20%. What is the size of the rebate? Answer: clothes Price: Rp 120,000 Rabat: 20% x 120,000 = 20/100 x 120,000 = 24,000 Thus, rabatnya amounted Rp.24.000 Example Problem 2 [1945901million] A Shop, gives a 5% discount for every purchase math book. If a math book has a price of Rp. 85,000. what is the price of the book after the discount?...
Read more