Question

vijay had only rs 100 and rs 500 currency notes in his purse. the total money in his purse is rs 5000. if the number of rss 100 notes is one more than twice the number of rs 500 notes, find the number of each type of notes in vijay's purse

Answer 1

let total Rs 100 currency notes = x

and Rs 500 currency notes = y

Given ,
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total money in Vijay's purse =Rs 5000
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according to question ,

100 x + 500 y = 5000. ________eq(1)

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also given that number of Rs 100 currency notes = twice of Rs 500 currency notes + 1
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x = 2 y +1 __________________eq(2)

Put value of ' x ' in eq. (1 ) , we get

100 ( 2 y + 1 ) + 500 y = 5000

200 y + 100 + 500 y = 5000

700 y = 4900 => y = 7 notes

now put value of ' y' in eq. ( 2 ) , we get

x = 2( 7 ) + 1 = 15 => x = 15 notes

therefore ,

Rs 100 currency notes = x = 15 notes

Rs 500 currency notes = y = 7 notes

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Your Answer: 15 , 7
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Answer 2

Define x:

Let the number of Rs 500 notes be x

The number of Rs 100 notes = 2x + 1

Solve x:

The total amount is Rs 5000

500x + 100 (2x + 1) = 5000

500x + 200x + 100 = 5000

700x = 4900

x = 7

Find the number of each type of notes:

Number of Rs 500 = x = 7

Number of Rs 100 = 2x + 1 = 2(7) + 1 = 15

Answer: There are 7 Rs 500 notes and 15 Rs 100 notes.