10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

Akhila went to a fair in her village. She wanted to enjoy rides on the giant wheel and play hoopla. If each ride costs Rs 3 and a game of hoopla costs Rs 4, then she spent Rs 20. The linear equation to represent this condition is

A) \[3x+4y=27\]

B) \[4x+3y=5\]

C) \[3x+4y=20\]

D) None of these

Correct Answer: C

Solution :

First, identify the variable quantities and let these be x and y.

Let number of rides = x

and number of hoopla games played

by her = y

Cost of 'x' rides = Rs 3x

Cost of 'y' hoopla games = Rs 4y

Total money spent = Rs 20

Then, we write the given condition in terms of x and y.

Let the equation be ax + by + c = 0.

\[\therefore\]Equation is 3x + 4y = 20