This page 10th CBSE maths solution for exercise 3.3 part 4 is going to provide you solution for every problems that you find in the exercise no 3.3

10th CBSE maths solution for Exercise 3.3 part 4

(iii) 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 if each bat and
each ball.

Solution:

Let "x" be the cost of each bat

Let "y" be the cost of each ball

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

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

6 y = 3800 - 7 x

y = (3800 - 7 x)/6

substitute y = (3800 - 7 x)/6 in the second equation

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

[18 x + 5 (3800 - 7 x)]/6 = 1750

(18 x + 19000 - 35 x)/6 = 1750

-17 x + 19000 = 1750 x 6

-17x + 19000 = 10500

- 17 x = 10500 - 19000

- 17 x = -8500

x = 8500/17

x = 500

Now,we have to apply the value of x in the equation

y = (3800 - 7 x)/6

y = [3800 - 7(500)]/6

y = (3800 - 3500)/6

y = 300/6

y = 50

Therefore the cost of each bat = Rs.500

Cost of each ball = Rs.50

(iv) The taxi charges in a city consist of a fixed charge together with the
charge for the distance covered. For a distance of 10 km,the charge paid is
Rs.105 and for a journey of 15 km,the charge paid is Rs 155. What are the fixed
charge and charge per km? How much does a person have to pay for traveling a
distance of 25 km?

Solution:

Let "x" be the fixed charge

Let "y" be the charge per km for the distance covered

x + 10 y = 105 ------ (1)

x + 15 y = 155 ------ (2)

x = 105 - 10 y

Substitute x = 105 - 10 y in the second equation

105 - 10 y + 15 y = 155

105 + 5 y = 155

5 y = 155 - 105

5 y = 50

y = 50/5

y = 10

x = 105 -10 (10)

x = 105 - 100

x = 5

Therefore the fixed charge is Rs.5

the charge per km for the distance covered = Rs.10