Question

The coach of a cricket team buys 7 bats and 6 balls for 13200. Later he buys 3 bats and 5 balls for 5900. find the cost of each bat and each ball.​

Answer 1

Answer:

1 Bat costs ₹1800

1 ball costs ₹ 100

I Hope My Answer Will Help You....

Answer 2

Step-by-step explanation:

$\bf \mathfrak \purple{Given:}$

• Cost of 7 bats and 6 balls is Rs 13200.
• Cost of 3 bats and 5 balls is Rs 5900.

$\bf \mathfrak \purple{To \: Find:}$

• What is the cost of each bat and ball ?

$\bf \mathfrak \purple{Solution: }$

• Let the cost of each bat and ball be Rs x and y respectively.

$\bf \pink{➙} \: Cost \: of \: 7 bats = Rs 7x$

$\bf \pink{➙} \: Cost \: of \: 6 \: balls \: = Rs 6y$

$\sf \pink{\implies{\rm }7x + 6y = 13200}$

$\sf \fbox{Equation 1}$

$\bf \purple{Now , In \: second \: case}$

$\bf \pink{➙ \: } \: Cost \: of \: 3 \: bats = Rs 3x$

$\bf \pink{➙} Cost \: of \: 5 \: balls = Rs 5y$

$\sf \blue{\implies{\rm }3x + 5y = 5900}$

$\sf \fbox{Equation 2}$

[ Multiplying 5 in equation 1 and 6 in equation 2 ]

➯ (7x + 6y) 5 = 13200 × 5

35x + 30y = 66000ㅤㅤㅤeqⁿ i

➯ (3x + 5y) 6 = 5900 × 6

18x + 30y = 35400ㅤㅤeqⁿ ii

ㅤㅤㅤㅤㅤ35x + 30y = 66000

ㅤㅤㅤㅤㅤ18x + 30y = 35400

ㅤㅤㅤㅤㅤ–ㅤㅤ–ㅤㅤ–

ㅤㅤㅤㅤ━━━━━━━━━━━━━━━

$\bf \fbox{ㅤㅤㅤㅤㅤ17x = 30600}$

$\sf \blue{∴ x = 30600/17 = 1800}$

Now putting the value of x in equation 1.

$\bf \orange{\implies{\rm }7 × 1800 + 6y = 13200}$

$\bf \red{\implies{\rm }6y = 13200 – 12600}$

$\bf \pink{\implies{\rm }y = 600/6}$

$\bf \blue{\implies{\rm } y = 100}$

Hence, the cost of each bat and ball is Rs 1800 & Rs 100 respectively.

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