The coach of a cricket team buys 7 bats

Asked by admin @ 12/08/2021 in Math viewed by 338 People

the coach of cricket teams buys 7bats and 6 balls for 3800 . later she buys 3 bats and 5 balls for rs 1750. find the cost of each bat and each ball. by substitute method

Answered by admin @ 12/08/2021

Answer:

Step-by-step explanation:

Given :-

The coach of cricket teams buys 7bats and 6 balls for 3800.

Later she buys 3 bats and 5 balls for rs 1750.

To Find :-

Cost of each ball and bat

Solution :-

Let the cost of each bat be = Rs x

Let the cost of each ball be = Rs y

According to the Question,

⇒ 7x + 6y = 3800

⇒ 6y = 3800 - 7x

Dividing by 6, we get

⇒ y = (3800 - 7x)/6 … (i)

⇒ 3x + 5y = 1750

Putting the value of y

⇒ 3x + 5 ((3800 - 7x)/6) = 1750

Multiplying by 6, we get

⇒ 18x + 19000 - 35x = 10500

⇒ -17x =10500 - 19000

⇒ -17x = - 8500

⇒ x = - 8500/-17

⇒ x = 500

Putting this value in equation (i) we get

⇒ y = ( 3800 - 7 × 500)/6

⇒ y = 300/6

⇒ y = 50

Hence the cost of each bat = Rs 500 and the cost of each balls = Rs 50.

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