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.​

Answer 1

Let the cost of one Bat be x

and the cost of one ball be y

Then According to Question

$\mathtt{7x+6y=3800  ---(i)}\\ \ \\ \mathtt{3x+5y=1750 ---(ii)}$

multiplying (i) by 3 and (ii) by 7 we get

$\mathtt{21x+18y=11400   (iii)}\\ \\ \mathtt{21x+35y=12250   (iv)}$

subtracting (iv) from (iii) we get

$\mathtt{−17y=−850}\\ \\ \mathtt{⇒y=50}$

putting y=50 in (i)

$\mathtt{7x+6y=3800}\\ \\ \mathtt{⇒7x+6×50=3800}\\ \\ \mathtt{⇒7x=3800−300} \\ \\ \mathtt{⇒x=500}$

Therefore the cost of each bat is Rs 500

Therefore the cost of each bat is Rs 500and the cost of each ball is Rs 50