the coach of a cricket teams buys 7bats and 6balls for rs3800.Later she buys 3bats and 5balls for rs1750.Find the cost of each bat and each ball by elimination method
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Let 'x'=price of one cricket bat
'y'=price of one ball
Given that:-
7*x+6*y=3800 Rs. _ (1)
3*x+5*y=1750 Rs. _ (2)
For the time being let's simply remove the unit of money i.e., Rs.
Multiply (1) by 3 and (2) by 7 in order to make the coefficient of 'x' in both equations the same...
(1) = 21x+18y=11400
(2)= 21x+35y=12250
(2)-(1) ⇒17y=850
∴y=850/17=50
Equating the value of y in any of the equations we get:
I am presently equating it in (1)
⇒ 7x+6*50=3800
∴x=3800-300=3500/7=500
Therefore the price of one bat is Rs.500 and the price of one ball is Rs.50...
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