A man purchased 47 stamps of 20p and 25p for ₹10. Find the number of

1.	A man purchased 47 stamps of 20p and 25p for ₹10. Find the number of each type of stamps
Answer» Let the number of stamps of 20p and 25p be x and y respectively. Then as per the question x + y = 47 …….(i) 0.20x + 0.25y = 10 4x + 5y = 200 …….(ii) From (i), we get y = 47 – x Now, substituting y = 47 – x in (ii), we have 4x + 5(47 – x) = 200 ⇒ 4x – 5x + 235 = 200 ⇒ x = 235 – 200 = 35 Putting x = 35 in (i), we get 35 + y = 47 ⇒ y = 47 – 35 = 12 Hence, the number of 20p stamps and 25p stamps are 35 and 12 respectively

A man purchased 47 stamps of 20p and 25p for ₹10. Find the number of each type of stamps

Answer»

Let the number of stamps of 20p and 25p be x and y respectively.

Then as per the question

x + y = 47 …….(i)

0.20x + 0.25y = 10

4x + 5y = 200 …….(ii)

From (i), we get

y = 47 – x

Now, substituting y = 47 – x in (ii), we have

4x + 5(47 – x) = 200

⇒ 4x – 5x + 235 = 200

⇒ x = 235 – 200 = 35

Putting x = 35 in (i), we get

35 + y = 47

⇒ y = 47 – 35 = 12

Hence, the number of 20p stamps and 25p stamps are 35 and 12 respectively