Meera went to a bank to withdraw rupees 2,000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meera got 25 note in all.
Find how many notes of Rs 50 and Rs 100 she received?
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Answers
Step-by-step explanation:
Let,
- No. of notes Rs. 100 = x
Total notes = 25
So,
- No. of notes Rs. 50 = 25 - x
Total amount = Rs. 2,000
★ According to the Question :
⇒ 100 (x) + 50 (25 - x) = 2,000
⇒ 100x + 1,250 - 50x = 2,000
⇒ 100x - 50x + 1,250 = 2,000
⇒ 50x = 2,000 - 1,250
⇒ 50x = 750
⇒ x = 750/50
⇒ x = 15
No. of notes Rs. 100 = 15
• No. of notes Rs. 50 = 25 - x
⇒ 25 - x
⇒ 25 - 15
⇒ 10
No. of notes Rs. 50 = 10
Therefore,
- No. of notes Rs. 50 = 10
- No. of notes Rs. 100 = 15
Given :-
Meera went to a bank to withdraw rupees 2,000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meera got 25 notes in all.
To Find :-
Find how many notes of Rs 50 and Rs 100 she received?
Solution :-
Let
Number of Rs. 100 notes = x
Number of Rs. 50 notes = y
x + y = 25
x = 25 - y(i)
Total money = 2000
100x + 50y = 2000
Divide both sides by 50
(100x + 50y)/50 = (2000)/50
2x + y = 40
2(25 - y) + y = 40
50 - 2y + y = 40
-2y + y = 40 - 50
-y = -10
y = 10
Using 1
x = 25 - y
x = 25 - 10
x = 15
Hence
Number of Rs. 100 notes = x = 15
Number of Rs. 50 notes = y = 10