1.

The coach of a cricket team buys 7 bats and 6 balls for ₹ 13200. Later, he buys 3 bats and 5 balls for ₹ 5900. Find the cost of each bat and each ball.

Answer» Let the cost each bat be ₹ x and the cost of each ball be ₹ y .
Then, ` 7x + 6y = 13200" "` ...(i)
And, ` 3x + 5y = 5900" "`...(ii)
On multiplying (i) by 5, (ii) by 6 and subtracting the results, we get
` 35 x - 18 x = 66000 - 35400 rArr 17x = 30600 `
` rArr x = ( 30600) /( 17 ) = 1800`
Putting ` x = 1800 ` in (ii), we get
` 5400 + 5y = 5900 rArr 5y = 5900 - 5400 `
`rArr 5y = 500`
` rArr y = 100`
` therefore ` cost of each bat = ₹ 1800 and cost of each ball = ₹ 100.


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