The coach of a cricket team buys 7 bats and 6 balls for Rs. 3800.

Question

Form the pair of linear equations for the following problems and find their solution by substitution method : 

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

Answer 1

Let the cost of each bat b Rs. x. 

Cost of each ball be Rs. y.

∴ 7x + 6y = 3800 

3x + 5y= 1750 

From eqn. (ii), 3x + 5y = 1750 

3x = 1750 – 5y

x = \(\frac{1750 - 5y}{3}\)

Substituting the value of ‘x’ in eqn. (i),

12250 – 17y = 3800 × 3 

12250 – 17y = 11400 

-17y = 11400 – 12250 

-17y = -850

∴ y = \(\frac{850}{17}\)

∴ y = Rs. 50 

Substituting the value of ‘y’ in

∴ x = Rs. 500 

∴ x = Rs. 500, Rs. y = 50 

∴ Cost of each bat is Rs. 500, 

Cost of each ball is Rs. 50.