Q22 of 29 Page 3

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 note Rs 50 and Rs 100 she received.

To find: Notes of denomination Rs 50 and Rs 100.


Explanation:


Let the number of Rs. 50 and Rs. 100 notes be ‘a’ and ‘b’.


Given, Meena went to a bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only.


⇒ 50a + 100b = 2000


⇒ a + 2b = 40 …… (1)


Also, Meena got 25 notes in all.


⇒ a + b = 25 ……(2)


(1) – (2)


a+2b–(a+b) =40–25


⇒ a+2b–a–b=40–25


⇒ b = 15


Put the value of b in eq. 1 to get,


a+15=25


⇒ a=25–15


Thus, a = 10


Therefore, Meena received 10 notes of denomination 50 and 15 notes of denomination 100.


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