Representing linear equations for a word problem
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The cost of a room in a hotel is partially fixed and partially varying with the hours stayed. A person staying for 10 hours paid ₹ 600 and a person staying for 15 hours paid ₹ 840. Find the algebraic expression representing this situation.
x+10y=840;x+15y=600
10x+15y=600;15x+10y=840
x+10y=600;x+15y=840
10x=600;15y=840
The distance between two piers on a river is miles.
It takes a motorboat, moving down river, to complete the journey.
How much time does it take the same boat to go back upstream if the current flows at ?
Question 35
State whether the statement is true (T) or false (F).
In a 2-digit number, the unit's place digit is x. If the sum of the digits be 9, then the number is (10x-9).
Write an algebraic expression for each of the following:
(ii) If the cost of a notebook is ₹ and the cost of a book is ₹, then what is the cost of notebooks and books.
Five year hence a mans age will be three times his sons age .Write a linear equation in two variable to represent this statement.
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
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
Any two digit number can be represented as
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.
My age is 3 years less than twice the age of my brother. Assume that my brother’s age is x and my age is y.
- 2x + y = 3
- x - 2y = 3
- 2x - y = 3
- 3x - 2y = 0
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 = 10 ; 2x +y =11
x +y =10; x + y = 10
x + y =11 ; y +2x =11
x + 2y = 10 ; 2x + y = 11
x+y=0
2x-y=0
x-2y=0
x+2y=0
- Length = 20m, Breadth = 18m
- Length = 24m, Breadth = 20m
- Length = 40m, Breadth = 36m
- Length = 24m, Breadth = 16m
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