A sum of ₹500is in the form of denomination of₹5and₹10. If the total number of notes is 90 find the number of notes of each denominaton....
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If the total number of notes is 90, find the number of notes of each type. The number of ₹ 10 notes = 90-x = 90-80 = 10 .
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Solution :
Let the number of ₹ 5 notes = x
∴ The number of ₹10 notes = 90-x
Value of ₹ 5 notes= x \times×₹5 = ₹ 5x
an the value of ₹10 notes = (90-x)\times×₹10 = ₹(900-10x)
∴Total value of all the notes = ₹500
∴5x+(900-10x)=500∴5x+(900−10x)=500
⇒5x+900-10x=500⇒5x+900−10x=500
⇒-5x=500-900⇒−5x=500−900
⇒-5x=-400⇒−5x=−400
⇒x=\frac{-400}{-5}⇒x=
−5
−400
⇒x=80⇒x=80
∴ The number of ₹ 5 notes = x = 80 and
The number of ₹ 10 notes = 90-x = 90-80 = 10 .
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