Question

a sum of rs.5000 is in the form of denomination of rs.50 and rs. 100. if the number of rs.100 notes is double the number of rs.50 notes, find the number of notes of each type​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer

Given

• Sum of Rs.5000 is in the form of denomination of Rs.50 and Rs. 100

• The number of Rs.100 notes is double the number of Rs.50 notes

Find

• The number of notes of each type

Solution

• Let the number of Rs 50 notes be "x"
• Let the number of Rs 100 notes be "y"

According to the question , Sum of Rs.5000 is in the form of denomination of Rs.50 and Rs. 100

Thus ,

=> 50x + 100y = 5000 --------(1)

Also given that , The number of Rs.100 notes is double the number of Rs.50 notes

Thus ,

=> y = 2x --------(2)

Putting y = 2x from (2) to (1)

=> 50x + 100y = 5000

=> 50x + 100(2x) = 5000

=> 50x + 200x = 5000

=> 250x = 5000

=> x = 5000/250

=> x = 20 ---------(3)

• Hence there were 20 notes of Rs 50

Putting x = 20 from (3) to (2)

=> y = 2x

=> y = 2(20)

=> y = 40

• Hence there were 40 notes of Rs 100