Question:
The Coach Of a Cricket Team Buys 7 Bats And 6 Balls For Ruppes 3800. Later ,She Buys 3 Bats And 5Balls for Ruppes 1750. Find the Cost of Each Bat And Each Ball.
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Answer:
Cost of bat = Rs 500/-
Cost of ball = Rs 50/-
Step-by-step explanation:
Cost of 7 Bats and 6 Balls = 3800
Let x be the cost of bat and y be the cost of balls
That is
7x + 6y = 3800 ---------------EQN 1
Also its given that
3x + 5y = 1750 _____________EQN 2
ie 1750 - 5y = 3x
ie (1750-5y)/3 = x
Put this value of x in Eqn 1
7 (1750-5y)/3 + 6y = 3800
(12250 - 35y)/3 + 6y = 3800
(12250 - 35y + 18y)/3 = 3800
12250 - 17y = 3 x 3800
12250 - 17y = 11400
12250 - 11400 = 17y
850 = 17y
y = 850/17 = 50 Rs
Cost of ball = Rs 50/-
Put y = 50 in EQN 1
7x + 6 x 50 = 3800
7x + 300 = 3800
7x = 3800-300=3500
x = 3500/7 = 500
Cost of bat = Rs 500.00
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