Question

The coach of a cricket team buys 7 bats and 6 balls for Rs 3800. Later, he buys 3 bats and 5 balls for Rs 1750. Find the cost of each bat and each ball.

Answer 1

Answer:

Step-by-step explanation:

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 is Rs 500 and the cost of each ball is Rs 50.

Answer 2

Given: The coach of a cricket team buys 7 bats and 6 balls for Rs 3800. Later, he buys 3 bats and 5 balls for Rs 1750.

Solution:

Substitution method is used to solve this Linear pair of Equations.

Let the cost of each bat be ₹ x and Cost of each ball be ₹ y. Then ,

7x + 6y = 3800 ………..… (1)

3x + 5y = 1750 ………..… (2)

From eq 1 :

6y = 3800 - 7x

y = (3800 - 7x) /6 ………..… (3)

On putting y in eq (2) we obtain :

3x + 5y = 1750

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

[6 × 3x + 5 ((3800 - 7x))] /6 = 1750

[6 × 3x + 5 ((3800 - 7x))] = 6 × 1750

18x + 19000 - 35x = 10500

-17x = 10500 - 19000

-17x = - 8500

x = 8500/ 17

x = 500

Therefore , cost of each bat = ₹ 500

On putting x = 500 in eq (3) we obtain:

y = (3800 - 7x) /6

y = (3800 - 7 × 500) / 6

y = (3800 - 3500)/6

y = 300/6

y = 50

Therefore , cost of each ball = ₹ 50

Hence , the cost of each bat is ₹ 500 and cost of each ball is ₹ 50.

Hope this answer will help you…

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