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 1750. Find the cost of each bat and each ball.
solve it using substitution method​

Answer 1

Answer:

Cost of Bat = 500 Rs

Cost of Ball  = 50 Rs

Step-by-step explanation:

Let price of Bat be x

Let price of Ball be 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.

Hope it helped :)