there are total 23 coins of ₹1,₹2 and ₹5 in a bag. if their value is ₹43 and the ratio of coins of ₹1 and ₹2 is 3:2 then no of coins of ₹1 is
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Here you have 3 variables and 3 equations,so the answer is straight.
Here you have 23 coins with 3 different denominations (₹1,₹2,₹5).
1.Let 'a' be number of ₹1 denomination coins
'b' be number of ₹2 denomination coins.
'c' be number of ₹5 denomination coins
So total coins is 23=a +b +c
2.Ratio of ₹1 coins to ₹2 coins is 3:2
So a:b=3:2 ,it means a=1.5b
3.The total value of these coins is ₹43
So a+2b+5c=43
Now you 3 equations to solve for 3 variables a,b,c 1. a+b+c=23
2. a=1.5b
3. a+2b+5c=43
Solving this you get a=12, b=8 ,c=3
So you have 12 coins of ₹1, 8coins of ₹2 and 3 coins of ₹5.
The value of ₹1 coins is 12×₹1=₹12
Value of ₹2 coins is 8×₹2. =₹16
Value of ₹5 coins is 3×₹5. =₹15
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