Question

Price of 7 bats and 6 balls is 3800 and the price of 3 bats and 5 balls is 1750.
What is the price of a cricket bat ? What is the price of a ball ?

Answer 1

Answer:

ANSWER

Let the cost of one Bat be x

and the cost of one ball be y

Then According to Question

7x+6y=3800   ---(i)

3x+5y=1750   ---(ii)

multiplying (i) by 3 and (ii) by 7 we get

21x+18y=11400   (iii)

21x+35y=12250   (iv)

subtracting (iv) from (iii) we get 

−17y=−850

⇒y=50

putting y=50 in (i)

7x+6y=3800

⇒7x+6×50=3800

⇒7x=3800−300

⇒x=500

Therefore the cost of each bat is Rs 500

and the cost of each ball is Rs 50

Answer 2

Answer:Given :-

The coach of cricket teams buys 7bats and 6 balls for 3800.

Later she buys 3 bats and 5 balls for rs 1750.

To Find :-

Cost of each ball and bat

Solution :-

Let the cost of each bat be = Rs x                  

Let the cost of each ball be = Rs y      

According to the Question,

⇒ 7x + 6y = 3800                  

⇒ 6y = 3800 - 7x                  

Dividing by 6, we get                  

⇒ y = (3800 - 7x)/6 … (i)  

⇒ 3x + 5y = 1750                  

Putting the value of y    

⇒ 3x + 5 ((3800 - 7x)/6) = 1750                  

Multiplying by 6, we get                  

⇒ 18x + 19000 - 35x = 10500                  

⇒ -17x =10500 - 19000                  

⇒ -17x = - 8500                  

⇒ x = - 8500/-17                  

⇒ x = 500  

Putting this value in equation (i) we get                  

⇒ y = ( 3800 - 7 × 500)/6                  

⇒ y = 300/6                  

⇒ y = 50    

Hence the cost of each bat = Rs 500 and the cost of each balls = Rs 50.

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