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  • Sasi has 20 coins in her purse. They are $10, $20 and $50 coins and the total value of the coins is $500. If she has more $50 than $10 coins, how many $10 coins she has?

Sasi has 20 coins in her purse. They are $10, $20 and $50 coins and the total value of the coins is $500. If she has more $50 than $10 coins, how many $10 coins she has?

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let;the;number;of;$10;coin;be;x\* let;the;number;of;$20;coin;be;y \* let;the;number;of;$50;coin;be;z=(20-x-y)\* Rightarrow 10x+20y+ 50(20-x-y)=500\* Rightarrow 4x+3y=50\* Now,;we;need;positive; integer;solutions;for;x;and;y;and,\*clearly;x;has;to;be;between;0;and;13\*Now,;according;to;information;given;we;have;to;now;do;it;by;hit;and;trial;method\* So,;try;putting;x=1,2,3,4,5,......,12\* And; you;will;get,\* x=2;will;fit;into;solutions\* x=2, y=14;and;z=4\* 10 imes 2+ 20 imes 14+50 imes 4=500\* Rightarrow So,;sasi;has;2;coins;of;$10.

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Deependra Verma

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