There are some coins of 25 paise and some coi | vedclass

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(A) Let the number of $25$ paise coins be $x$ and the number of $50$ paise coins be $y$.According to the problem,the total number of coins is $20$,so

Vedclass · Accepted Answer

$12$ coins of $25$ paise and $8$ coins of $50$ paise

Vedclass · Answer

(A) Let the number of $25$ paise coins be $x$ and the number of $50$ paise coins be $y$.According to the problem,the total number of coins is $20$,so $x + y = 20$ (Equation $1$).The total value of the coins is Rs. $7$,which is $700$ paise. Thus,$25x + 50y = 700$ (Equation $2$).Dividing Equation $2$ by $25$,we get $x + 2y = 28$ (Equation $3$).Subtracting Equation $1$ from Equation $3$: $(x + 2y) - (x + y) = 28 - 20$,which gives $y = 8$.Substituting $y = 8$ into Equation $1$: $x + 8 = 20$,which gives $x = 12$.Therefore,there are $12$ coins of $25$ paise and $8$ coins of $50$ paise.

There are some coins of $25$ paise and some coins of $50$ paise in a box. There are in all $20$ coins and they amount to Rs. $7$. Find the number of coins of $25$ paise and $50$ paise each.

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