Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method :
Meena went to a bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes of Rs 50 and Rs 100 she received.
Let the number of Rs 50 notes and Rs 100 notes be x and y respectively
According to the given information,
x + y = 25 .....(1)
50x + 100y = 2000 (2)
Multiply equation (1) by 50 we obtain
50x + 50y = 1250.... (3)
Subtracting equation (3) from equation (2), we obtain
50y = 750
y = 15
Substituting in equation (1), we have x = 10
Hence, Meena has 10 notes of Rs 50 and 15 notes of Rs 100.
Concept: Algebraic Methods of Solving a Pair of Linear Equations - Elimination Method
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