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.
Let the cost of each bat be ‘a’ and each ball be ‘b’.
Given, 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
⇒ 7a + 6b = 3800 ---- (1) and
3a + 5b = 1750 ---- (2)
Multiplying eq1 by 3 and eq2 by 7 and subtracting eq2 from eq1.
⇒ 21a + 18b – 21a – 35b = 11400 – 12250
⇒ 17b = 850
⇒ b = Rs. 50