Math, asked by nanditaroy98325, 8 months ago

y=mx + 3.
allu lence find the value of 'm' for which
3. Form the pair of linear equations for the following problems and find their solution by
substitution method.
(i) The difference between two numbers is 26 and one number is three times the other.
Find them.
(ii) The larger of two supplementary angles exceeds the smaller by 18 degrees. Find
them.
(iii) 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 ball.


no.(iii)​

Answers

Answered by swethaiyer2006
2

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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