Mr.Kapur withdrew rs.25000 from an ATM.If he received 150 notes in denominations of rs.500 and rs.100,find the no. of notes of each denomination?

although i know how to do it, but it is a 2 variable method...can u suggest a 1 variable method?

ans-25,125

thanx

*x*.

Total number of notes = 150

Then, number of Rs.100 notes = $\left(150-x\right)$

Amount of 150 notes = $500x+100\left(150-x\right)$

Total amount withdrew from an ATM = Rs.25000

So we have;

$500x+100\left(150-x\right)=25000\phantom{\rule{0ex}{0ex}}\Rightarrow 500x+15000-100x=25000\phantom{\rule{0ex}{0ex}}\Rightarrow 400x=25000-15000\phantom{\rule{0ex}{0ex}}\Rightarrow x=\frac{10000}{400}=25$

Therefore number of Rs.500 notes = 25 and number of Rs.100 notes = $150-25=125$

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