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MTH302 ALL Current Mid Term Papers Fall 2014 & Past Mid Term Papers at One Place from 10 January 2015 to 25 January 2015

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Share Your Current mid Term Papers (Questions/Pattern) from 20 December 2014 to 01 January 201 to help each other. Thanks 

Anyone can solve this for me....I can't do it please help

6 stools and 3 chairs, bought at $58, 3 stools and 2 chairs bought at $35...What is price of stools and chairs?

By Using same this method with putting given above values, u can solve ur question.

----------------------------------

Ques: 6 stools and 4 chairs cost $58 while 5 stools and 2 chairs cost $35. Find the costs of one stool and one chair each.

Answer:

We can rewrite the problem like this:
6 stools + 4 chairs = 58
5 stools + 2 chairs = 35

We need to make a representation for the stools and the chairs. We can make it this way:
Let x be the cost of one stool
Let y be the cost of one chair

Having that, we can now substitute stools with x and chairs with y. So:
6x + 4y = 58
5x + 2y = 35

As you can see, we can multiply -2 to both sides of the equation, 5x + 2y = 35, to eliminate 4y and -4y. It would be:
-10x – 4y = -70

Now, we can eliminate 4y from the first equation and -4y from the second equation. That would leave us with variables x in both equations. Combining both, we will get:
6x – 10x = 58 – 70
-4x = -12
x = 3

Now we can substitute x with 3 in the first equation. It will look like this:
6(3) + 4y = 58
18 + 4y = 58
4y = 40
y = 10

Now that we have both x and y, we can now say that:
The cost of one stool is $3 while the cost of one chair is $10.

A.o>A

sis please explain this line.

"

As you can see, we can multiply -2 to both sides of the equation, 5x + 2y = 35, to eliminate 4y and -4y. It would be:
-10x – 4y = -70

Now, we can eliminate 4y from the first equation and -4y from the second equation. That would leave us with variables x in both equations. Combining both, we will get:
6x – 10x = 58 – 70
-4x = -12
x = 3

-2 aur 2 khan sy liy ap ny ?? multipy krein gy -2 sy means ?? plz explain this point meny lec bhi suna smjh nhi ai"

Wa'alikumsalam,
      sorry for coming late. whereas concern your question, why we multiplied with 2 or 2 kahan sy aya to dear equations k coefficient ko equal krnay k liay hum ny khud sy usay 2 k sath multiply krna hai. However, us equation mein sy ksi ik ki value findout ki ja skay x ya y ki. 
means, if u have ..
6x + 3y = 58.....(i)
and
3x + 2y = 35.....(ii)
then you will have to equal 2nd equation's coefficient, however, 1 value could be able to findeither X or Y.
means, hamein 3x ko 6x ya 2y ko 3y k equal kr k eliminate krna hai ksi aik ko. agr both equations mein sy just y ki dono values ya x ki dono values equal ho kr cut jatein hein then it means we can find any of 1 value of X or Y.
However, i have shared just example in given above solution. but question is change.Given above mein just 1 stool or chair ki values find krni thi'n jab keh actual question mein Total Stools or Total chairs ki Cost maloom krni hein.

I'm posting here exact Answer of the question  Required from your past paper.
 
Question: 6 stools and 3 chairs, bought at $58, 3 stools and 2 chairs bought at $35...What is price of stools and chairs?
Answer:
We can rewrite it,
6 stools + 3 chairs = 58
3 stools + 2 chairs = 35
Let x be the cost of Total stools
Let y be the cost of Total chairs
we can now substitute stools with x and chairs with y. So:
6x + 3y = 58.....(i)
3x + 2y = 35.....(ii)
we required to find Total x(stools) and y(chairs) values(cost)..
to finding x value,
Multiply eq(ii) by 2.       [ REMEMBER: we multiplied with 2 due to having equal coefficient of                                                                 both equations. if we didn't so,we will not be able to find                                                              out x or y value.]
2(3x+2y)=2(35)                        
we get,
6x + 4y = 70.... (iii)
Now, Subtract eq(iii) from eq(i)
6x + 3y = 58.......(i)
6x + 4y = 70...... (iii)
-  -      -
----------------------
   - y = -12    [- will be cut from both sides..]
means
    y = 12
Now, find the value of x.    
put y=12 in eq(i)..
6x + 3y = 58.....(i)
6x + 3(12)= 58
6x + 36 = 58
6x = 58 -36
6x = 22
 x = 22/6 
 x = 3.67
  So, 
Stools = x = 3.67
Chairs = y = 12
 
 due to lack of time,any mistake could be possible but Hope, your  will be understand your actual query's answer as well method.
Welcome, if hv any further query.

thanks so much.

JazakAllah. sister 

Jazzak Allah u too dear.

Anyone can solve this.....

The monthly incomes of A and B are in the ratio 4 : 5, their expenses are in the ratio 5 : 6. If 'A' saves Rs.25 per month and 'B' saves Rs.50 per month, what are their respective incomes? 

Answer:

Let A's income be = 4x
A's expenses, therefore=4x–25

Let B's income be =5x
B's expenses, therefore =5x–50

We know that the ratio of their expenses =5:6
⇒ 24x−150=25x−250
⇒ Therefore, x=100.
⇒ A's income =4x= 400 and B's income =5x= 500.

sis yhan 24x-150 kysy aya?

Let see in detail,

Solution:

Let A's

income  = 4x
A's expenses =4x–25

Let B's 

income =5x
B's expenses =5x–50

4x-25:5 = 5x-50:6

4x-25/5 = 5x-50/6      (will be cross multiplication here)

6(5x-50) = 5(4x-25)

24x - 150 = 25x - 250

24x + 25x = - 250 + 150

   - x =  - 100

     x = 100

therefore,

A's income  = 4x = 4(100) =400

B's income  = 5x = 5(100) =500

Hope,it 'll be understood now. :) 

Wish u Good Luck!

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