Question

(ii) The coach of a cricket team buys 7 bats and 6 balls for Rs 3800. Later, she buys 3
bats and 5 balls for Rs 1750. Find the cost of each bat and each ball.​

Answer 1

Step-by-step explanation:

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

Now as per the question

First he buys 7 bat and 6 balls for Rs. 3800

7x+6y=3800...(1)

Later he buys 3 bats and 5 balls for Rs. 1750

3x+5y=1750...(2)

Now using substitution method from eq2

5y=1750−3x

⇒y=51750−3x

Now putting value of y in eq1

⇒7x+56(1750−3x)=3800

⇒35x+10500−18x=19000

⇒17x=8500

⇒x=500

Now putting value of x in eq2

⇒3×500+5y=1750

⇒1500+5y=1750

⇒5y=1750−1500

⇒5y=250

⇒y=50

Hence each bat cost = Rs. 500 and each ball cost = Rs. 50

PLEASE FOLLOW ME AND SELECT MY ANSWER AS BRAINLIEST AND I WILL DEFINITELY FOLLOW YOU.THANK YOU MATE......

Answer 2

ANSWER:

One bat = ₹ 500

One ball = ₹ 50

GIVEN:

7 bats and 6 balls = ₹ 3,800

3 bats and 5 balls = ₹ 1,750

ASSUMPTION:

Let number of bats be x

Let the number of balls be y

TO FIND:

Cost of each ball and bat.

EXPLANATION:

★ 7x + 6y = 3800 -----------> 1

★ 3x + 5y = 1750 ------------> 2

Multiply equation 1 by 3 and equation 2 by 7

$21x + 18y = 11400 \: \: \: (on \: subtracting\\ \\ 21x + 35y = 12250 \: \: \: \: the \: two \: equations) \\ ( - ) \: \: \: \: \: \: ( - ) \: \: \: \: \: \: ( - ) \\ \underline{ \quad \qquad\quad\quad\qquad\qquad } \\ \: \: \: \: \: \: \: - 17y = - 850 \\ \underline{ \quad \qquad\quad\quad\qquad\qquad } \\ y = \frac{850}{17} \\ \\ y = 50$

Substitute y = 50 in equation 2

3x + 250 = 1750

3x = 1500

x = 500

COST OF ONE BAT = ₹ 500 AND COST OF ONE BALL = ₹ 50.