eena 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.
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It can be solved by using quadratic equation in two variables.
Let the no. of Rs. 50 notes be x.
and the no. of Rs. 100 notes be y.
A/Q, x + y = 25 ---- 1
x = 25 - y
and 50x + 100y = 2000 ---- 2 [Rs. 50/100 × x/y no. of notes]
Now, putting the value of x from eqn. 1 in eqn. 2, we get
50(25 - y) + 100y = 2000
1250 - 50y + 100y = 2000
50y = 2000 - 1250
y = 750/50 = 15
Now putting value of y in eqn. 1
x = 25 - 15
x = 10
Therefore, she received 10 Rs. 50 notes and 15 Rs. 100 notes.
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