A sum of ₹500 is in the form of notes of denominations of ₹5and₹10 .If the total number of notes is 90, find the number of notes of each type . Pls answer
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Let no. of notes of 5rs be x
no. of notes of 10rs be y
By first condition,
5x + 10y = 500 _ eq. 1
By second condition,
x + y = 90
Multiply both sides by 5,
5x + 5y = 450 _ eq. 2
Subtracting eq. 2 from eq. 1,
We get
5y = 50
Hence, y = 10
Resubstituting in second condition,
x + y = 90
x + 10 = 90
x = 90 - 10
Hence, x = 80
Therefore, no. of 5rs notes are 80 and 10rs notes are 10.
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