Question

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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.





(REQUIRED QUALITY ANSWER)​

Answer 1

Question:–

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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Answer:–

Let the cost of bat be x and ball be y.

Now,

CASE 1 [7 bat, 6 balls]:-

==>7x+6y=3800

==>7x+6y=3800Let this () be eq.(i)

CASE 2 [3bat, 5 balls]:-

==>3x+5y=1750

Let this () be eq.(ii)

Multiplying eq.(i) with 3 we get:-

==>21x+18y=11400

Let this () be eq.(iii)

Multiplying eq.(ii) with 7 we get:-

==>21x+35y=12250

Let this () be eq.(iv)

Subtracting eq.(iii) from eq.(iv) we get:-

==>21x+35y–(21x+18y)=12250–11400

==>21x–21x+35y–18y=850

==>17y=850

==>y=850÷17

==> y = 50

Substituting the value of y in eq.(i) we get:–

==>7x+6[tex] \times [/tex]50=3800

==>7x+300=3800

==>7x=3800–300

==>7x=3500

==>x=3500÷7

==> x=500

⭐Hence the cost of bat is ₹500 and the cost of ball is ₹50

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Answer 2

Step-by-step explanation:

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