# The Coach of a Cricket Team Buys 7 Bats and 6 Balls for Rs 3800. Later, He Buys 3 Bats and 5 Balls for Rs 1750. Find the Cost of Each Bat and Each Ball. - Mathematics

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

#### Solution

Let the cost of the bat and a ball be x and y respectively
According to the given information

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

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

From (1), we obtain

y = (3800 - 7x)/6 ....(3)

Substituting this value in equation (2), we obtain

3x + 5((3800 - 7x)/6) = 1750

3x + 9500/3 - (35x)/6 = 1750

3x - (35x)/6 = 1750 = 9500/3

3x - (35x)/6 = (5250 - 9500)/3

-(17x)/6 = (-4250)/3

-17x = -8500

x = 500 ...(4)

Substituting this in equation (3), we obtain

y = (3800 - 7 xx 500)/6

= 300/6 = 50

Hence, the cost of a bat is Rs 500 and that of a ball is Rs 50.

Concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method
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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 3 Pair of Linear Equations in Two Variables
Exercise 3.6 | Q 9 | Page 79