Question

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 the number of coins of ₹1 is:​

Answer 1

Here's your answer

(Eq) is a symbol for Equation

And, (no.) is a symbol of number

So, number of rupees 1 coins= 12

Answer 2

Answer:

Total there are 12, ₹1 coins.

Step-by-step explanation:

Let number of 1,2,5 coin be x,y,z

x +y + z = 23

According to question x:y = 3:2 ===> x = 3/2y = 1.5y

Hence, 1.5y + y + z = 23 ===> 2.5 y + z =23 - {1}

For Values,

1*x + 2*y + 5* z= 43 ===> 1.5y + 2y + 5z = 43===> 3.5 y + 5z = 43 - {2}

Multiplying {1} * 5 and subtracting it from {2},

-9 y = -72 ==> y = 8

===> x = 1.5 *8 = 12 Hence there are 12,₹1 coins.