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 recieved
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Answer:
Step-by-step explanation:
Let the number of 50rs notes be x and 100rs notes be y
so
50x+100y=2000
x+y=25
solve for x and y using substitution
x=10, y=15
Answered by
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GiVen:-
- 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.
To find:-
- Find how many notes of Rs.50 and Rs.100 she recieved.
Solution:-
- Let's the number of Rs. 50 notes = x
- Let's the number of Rs. 100 notes = y
★ According to Question:-
Total notes = 25
Therefore,
→ x + y = 25 ...(i)
Total Amount only in Rs. 50 notes = 50x
Total Amount only in Rs. 100 notes = 100y
Therefore,
→ 50x + 100y = 2000 ...(ii)
Now, Multiplying eq(i) by 50, we get
→ (50)x + (50)y = (50)25
→ 50x + 50y = 1250 ...(iii)
Subtracting eq(iii) from eq(ii), we get
→ 50y = 750
→ y = 750/50
⟹ y = 15
Putting value of y in eq(i),
→ x + 15 = 25
→ x = 25 - 15
⟹ x = 10
Hence,
Number of Rs. 50 notes = 10
Number of Rs. 100 notes = 15
Therefore, Meena has 10 notes of Rs. 50 and 15 notes of Rs. 100.
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