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Question:
a sum of $500 is in the form of denominations of $5 and $10. if the total number of notes is 90 find the number of notes of each denominations
Answer:

Let number of notes of $10 = x

Total number of notes = 90

So, number of notes of $5 = 90 - x

Given, total sum = 500

    10x + 5(90 - x) = 500

=> 10x + 450 - 5x = 500

=> 5x + 450 = 500

=> 5x = 500 - 450

=> 5x = 50

=> x = 50/5

=> x = 10

=> So, the number of notes of $10 = 10

=> and the number of notes of $5 = 90 - x = 90 - 10 = 80

 

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