the coach of a cricket teams buys 7 bats and 6 balls for 3800 . later she buys 3bats and 5 balls for 1700 . the equation is
Answers
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SOLUTION :-
The coach of a cricket team buys 7 bats and 6 balls for Rs. 3800
and later she buys 3 bats and 5 balls for Rs. 1750
let the cost of 1 bat be Rs. x and cost of 1 ball be Rs. y
then the equations are...
7x + 6y = 3800 -------> equation (1)
3x + 5y = 1750 --------> equation (2)
multiplying both sides of equation (1) by 5 and equation (2) by 6...
[ 7x + 6y = 3800 ] -------> equation (1) × 5
→ 35x + 30y = 19000 --------> equation (3)
[ 3x + 5y = 1750 ] --------> equation (2) × 6
→ 18x + 30y = 10500 --------> equation (4)
subtracting equation (4) from equation (3)....
35x + 30y = 19000 ------> equation (3)
18x + 30y = 10200 ------->equation (4)
- - -
____________________________
17x = 8500
→ x = 8500/17
→ x = 500
putting the value of x in equation (1)...
7x + 6y = 3800
→ 7(500) + 6y = 3800
→ 3500 + 6y = 3800
→ 6y = 3800 - 3500
→ 6y = 300
→ y = 50