Rubina went to a bank to withdraw Rs.2000. She asked the cashier to give the cash in
Rs.50 and Rs.100 notes only. She got 25 notes in all. Can you tell how many notes each of
Rs.50 and Rs.100 she received
Answers
Answer:
Number of Rs. 50 notes = x = 10 notes
Number of Rs. 100 notes = 25-x=25-10=15 notes
Step-by-step explanation:
Let the number of Rs.50 notes be x
Thus, number of Rs. 100 notes = 25-x
Money withdrawn = Rs. 2000
Therefore,
x*50 + (25-x)*100 = 2000
50x+2500-100x=2000
-50x=-500
x=10
Therefore,
Number of Rs. 50 notes = x = 10 notes
Number of Rs. 100 notes = 25-x=25-10=15 notes
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Rs 50 notes = 10 and Rs 100 notes = 15
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Let total Rs 50 notes = x
and total Rs 100 notes = y
∴ Total notes = x + y
But we are given total notes = 25
Now, Rubina has total money =50x + 100y
But we are given total money =Rs 2000
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On substraction of ① and ②,
(x+y) - (x+2y) = 25 - 40
x + y - x - 2y = - 15
- y = - 15
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Now, by putting y in ①,
x+y=25
x + 15 = 25
x = 25 - 15
∴ Rs 50 notes, x = 10
and Rs 100 notes, y = 15