Math, asked by ashokdakhane, 10 months ago

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

Answered by nandani4912
6

Answer:

hope it helps you and satisfies you

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Answered by TooFree
14

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

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