Question

solve the word problem

the coach of a crucket team buys 7 bats and 6 balls for rs 3800.later she buys 3 bats and 5 balls for 1750.find the cost of each of bat and ball?​

Answer 1

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Answer 2

Answer:

Let      

cost of each bat      =  Rs x

Cost of each ball      = Rs y

Given that

coach of a cricket team buys 7 bats and 6 balls for Rs 3800.

So that                

7x + 6y   = 3800

       6y  = 3800 – 7x

Divide by 6 we get

    y  =   (3800 – 7x) /6         … (1)

Given that she buys 3 bats and 5 balls for Rs 1750.

so that

3x + 5y = 1750

Plug the value of y

3x + 5 ( (3800 – 7x ) /6)      =   1750

Multiply by 6 we get

18 x  + 19000 – 35 x    =  10500

-17x    =10500 - 19000

-17x    = -8500

x         = - 8500 / - 17

x         =  500

Plug this value in equation first we get

y          = ( 3800 – 7 * 500) / 6

y          = 300/6

y          = 50

Hence ,

cost of each bat = Rs 500

cost of each balls = Rs 50