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CBSE - VII - Mathematics - Simple Equations

Respected sir/mam,
I can't answer this question, will you kindly explain all it's steps. The question goes:
Swapnil has 590 rupees in currency notes in the denominations of 50 rupees, 20 rupees, 10 rupees. The ratio of the number of 50 rupees notes and 20 rupees is 3:5. If has total of 25 notes, how many notes each denomination does he have?

Asked by ranksahoo 29th September 2017, 6:53 PM
Answered by Expert

Answer:

begin mathsize 16px style Let space the space number space of space 50 space notes space be space 3 straight x
rightwards double arrow Amount space made space by space 50 space notes equals 50 cross times 3 straight x equals 150 straight x

And comma space the space number space of space 20 space notes space be space 5 straight x
rightwards double arrow Amount space made space by space 20 space notes equals 20 cross times 5 straight x equals 100 straight x

Total space number space of space notes equals 25
rightwards double arrow Number space of space 10 space notes equals 25 minus left parenthesis 3 straight x plus 5 straight x right parenthesis equals 25 minus 8 straight x
rightwards double arrow Amount space made space by space 10 space notes equals 10 cross times left parenthesis 25 minus 8 straight x right parenthesis equals 250 minus 80 straight x

Total space amount equals 590
rightwards double arrow 150 straight x plus 100 straight x plus 250 minus 80 straight x equals 590
rightwards double arrow 170 straight x equals 340
rightwards double arrow straight x equals 2

Hence comma space Denominations space of
Rs. space 50 equals 3 cross times 2 equals 6
Rs. space 20 equals 5 cross times 2 equals 10
Rs. space 10 equals 25 minus 8 cross times 2 equals 25 minus 16 equals 9 end style
Answered by Expert 30th September 2017, 4:05 PM

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