Question

The coach of a cricket team buys 7 bats and 6 balls for 3800. Later, she buys 3 bats and 5 balls for 1750. Find the cost of each bat and each hall. ​

Answer 1

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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Answer 2

Answer:

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.

Step-by-step explanation:

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