11. A sum of 500 is in the form of notes of denominations of 55 and 510. If the total number of notes is 90 then find the number of notes of each type.
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Answer:
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=500-900
⇒-5x=-400
⇒x=\frac{-400}{-5}
⇒x=80
∴ The number of ₹ 5 notes = x = 80 and
The number of ₹ 10 notes = 90-x = 90-80 = 10 .
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