A sum of R500 is in the form of notes of denominations of 5 and R10. If the total number ofnotes is 90 then find the number of notes of each type.
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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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