Advertisements
Advertisements
Question
The coach of a cricket team buys 4 bats and 1 ball for ₹ 2050. Later, she buys 3 bats and 2 balls for ₹ 1600. Find the cost of each bat and each ball.
Solution
Let the cost of one bat be ₹ x
Let the cost of one ball be ₹ y
ATQ
4x + 1y = 2050 ...(1)
3x + 2y = 1600 ...(2)
4x + 1y = 2050 ...(From (1))
y = 2050 – 4x
Substitute value of y in (2)
3x + 2(2050 – 4x) = 1600
3x + 4100 – 8x = 1600
–5x = –2500
x = 500
Substitute value of x in (1)
4x + 1y = 2050
4(500) + y = 2050
2000 + y = 2050
y = 50
Hence
Cost of one bat = ₹ 500
Cost of one ball = ₹ 50
APPEARS IN
RELATED QUESTIONS
The difference of two natural numbers is 5 and the difference of their reciprocals is 1/10. Find the numbers
Form the pair of linear equations for the following problem and find their solution by substitution method.
A fraction becomes `9/11` if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes `5/6`. Find the fraction.
Solve the following systems of equations:
`15/u + 2/v = 17`
Solve the following systems of equations:
`x+y = 2xy`
`(x - y)/(xy) = 6` x != 0, y != 0
Solve the following systems of equations:
2(3u − ν) = 5uν
2(u + 3ν) = 5uν
Solve the following systems of equations:
152x − 378y = −74
−378x + 152y = −604
4 tables and 3 chairs, together, cost Rs 2,250 and 3 tables and 4 chairs cost Rs 1950. Find the cost of 2 chairs and 1 table.
Solve the following set of simultaneous equation.
2x - 7y = 7; 3x + y = 22
Find the solution of the pair of the equation :
`3/x + 8/y = - 1; 1/x - 2/y = 2`, x, y ≠ 0
3 chairs and 1 table cost ₹ 900; whereas 5 chairs and 3 tables cost ₹ 2,100. If the cost of 1 chair is ₹ x and the cost of 1 table is ₹ y, then the situation can be represented algebraically as ______.
