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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 - Mathematics

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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

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Solution

Let cost of each bat = Rs x

Cost of each ball = Rs y

Given that coach of a cricket team buys 7 bats and 6 balls for Rs 3800.

7x + 6y = 3800

6y = 3800 – 7x

Dividing by 6, we get

y = (3800 – 7x)/6 … (i)

Given that she buys 3 bats and 5 balls for Rs 1750 later.

3x + 5y = 1750

Putting the value of y

3x + 5 ((3800 – 7x)/6) = 1750

Multiplying by 6, we get

18x + 19000 – 35x = 10500

-17x =10500 - 19000

-17x = -8500

x = - 8500/- 17

x = 500

Putting this value in equation (i) we get

y = ( 3800 – 7 × 500)/6

y = 300/6

y = 50

Hence cost of each bat = Rs 500 and cost of each balls = Rs 50.

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

NCERT Class 10 Maths
Chapter 3 Pair of Linear Equations in Two Variables
Exercise 3.3 | Q 3.3 | Page 53
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