Q.6: 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.
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Answered by
1
Answer:
Each bat - Rs.500
Each ball - Rs. 50
Step-by-step explanation:
Let the cost of one Bat be x
and the cost of one ball be y
Then According to Question
7x+6y=3800 ---(i)
3x+5y=1750 ---(ii)
multiplying (i) by 3 and (ii) by 7 we get
21x+18y=11400 (iii)
21x+35y=12250 (iv)
subtracting (iv) from (iii) we get
−17y=−850
⇒y=50
putting y=50 in (i)
7x+6y=3800
⇒7x+6×50=3800
⇒7x=3800−300
⇒x=500
Therefore the cost of each bat is Rs 500
and the cost of each ball is Rs 50
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