Sunday, March 31, 2013

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.


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.
Let        cost of each bat      =  Rs x
Cost of each ball      = Rs y
Given that coach of a cricket team buys 7 bats and 6 balls for Rs 3800.
So that                       7x + 6y          = 3800
6y        = 3800 – 7x
Divide by 6 we get
y          = (3800 – 7x) /6         … (1)
Given that she buys 3 bats and 5 balls for Rs 1750.so that
3x + 5y = 1750
Plug the value of y
3x + 5 ((3800 – 7x) /6)        = 1750
Multiply by 6 we get
18 x  + 19000 – 35 x            = 10500
-17x    =10500 - 19000
-17x    = -8500
x         = - 8500 / - 17
x         =  500
Plug this value in equation first we get
y          = ( 3800 – 7 * 500) / 6
y          = 300/6
y          = 50
Hence cost of each bat = Rs 500 and cost of each balls is Rs 50

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