Question

The coach of a cricket team by 7 bats in 6 balls for 3800 rupees later she buys 3 bed and 5 Balls for 1750 find the cost of each bat and ball

Answer 1

plz mark it as brainliest

Answer 2

let the cost of 1 bat be₹X

cost of 1 ball =Y

7x+6y=3800----------(i)

3x+5y=1750-----------(ii)

from (i) 7x+6y=3800

$\: \: \: \: \: \: \: 7x = 3800 - 6y$

$x = \frac{3800 - 6y}{7}$

$substituting \: x = \frac{3800 - 6y}{7} \: in \: equation(ii)$

$\implies \: 3( \frac{3800 - 6y}{7} ) + 5y = 1750$

$\implies \: \frac{11400 - 18y}{7} + 5y = 1750$

$\implies \: \frac{11400 - 18y}{7} + 35y = 1750$

$\implies \: \frac{11400 + 17y}{7} = 1750$

$\implies \: 11400 + 17y = 1750 \times 7$

$\implies \: 11400 + 17y = 12250 \\ \implies \: 17y = 12250 - 11400$

$\implies \: 17y= 850$

$\implies \: y = \frac{850}{17}$

$\implies \: y = 50$

$putting \: y \: = 50 \: in \: equation \: (iii)$

$x = \frac{3800 - 6(50)}{7}$

$\implies \: x = \frac{3800 - 300}{7}$

$\implies \: x = \frac{3500}{7}$

$\implies \: x\: = 500$

$\therefore \: cost \: of \: 1 \: bat = 500 \\ cost \: of \: 1 \: ball \: = 50$