Representing Linear Equations for a Word Problem
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If we buy 2 tickets to station A and 5 tickets to station B, the total cost is Rs. 77.
- 2x + 3y = 77
- 3x + 2y = 77
- 2x + 5y = 77
- 5x + 2y = 77
The Coach of a cricket team buys 3 bats and 6 balls for Rs. 3900. Later, he buys another bat and 3 more balls of the same kind for Rs. 1300. Represent the situation algebraically.
[1 Mark]
[Introduction to pair of linear equations in two variables]
True
False
x+2y=0
x+y=0
2x-y=0
x-2y=0
The sum of digits of a two-digit number is 10. The difference between the number and the number obtained by reversing the digits is 18. Find the appropriate equations.
x + y =11 ; y +2x =11
x +y =10; x + y = 10
x+y = 10 ; 2x +y =11
x + 2y = 10 ; 2x + y = 11
x+2y=0
x-2y=0
x+y=0
2x-y=0
Adding 6 to numerator of a fraction , the numerator becomes twice the denominator. Which of the following equations represent this statement?
x+6=2y
y+6=2x
- (a) and (b) above.
- None of the above
A person travelling in an auto found that the fare of the journey consists of fixed charge together with the charge for the distance covered. The equation x+10y=200 represents , when the person travels 10 km. Find out the variable which represents the fixed charge in the equation.
10 times the numerator exceeds 5 times the denominator by 30. The equation satisfying the statement is
10x – 5y = 30
10y-5x = 30
Both (a) and (b)
None of these