Karan has same number of notes of Rs 20 and Rs. 50. He has rs. 4900in
total then find the total number of notes he has?
Answers
Answer:
hope it helps you and satisfies you
There are 2 ways to solve this problem:
1. Algebraic method
2. Heuristic - Set Method
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Algebraic Method
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Define x:
Let the number of Rs 20 notes = x
Since the number of Rs 20 and Rs 50 have the same number of notes,
The number of Rs 50 notes = x
Given that the total value is Rs 4900
20x + 50x = 4900
70x = 4900
x = 70
Find the number of each notes:
Rs 20 Notes = x
Rs 20 Notes = 70
Rs 50 Notes = x
Rs 50 Notes = 70
Total number of notes = 70 + 70
Total number of notes = 140
Answer: There are 140 pieces of notes altogether
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Heuristic - Set Method
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Since there are equal number of Rs 20 and Rs 50 notes
⇒ We place them in a set.
⇒ A set has 2 notes.
⇒ A set has 1 Rs 20 and 1 Rs 50
Find the value of a set:
Total value of the set = 20 + 50
Total value of the set = Rs 70
Find the number of sets:
Number of sets = 4900 ÷ 70
Number of sets = 70
Find the number of notes:
1 set = 2 notes
70 sets = 2 x 70
70 sets - 140 notes
Answer: There are 140 pieces of notes altogether