Question

There are Rs.2 and Rs.5 coins in a purse.If there are 60 coins of value Rs.195,find the number of coins of each kind.

Answer 1

let no. of rs2 coins = x
& no. of rs5 coins = y
then,
x+y=60
and
2x+5y =195

You can solve this pair of linear equations in two variables.
If you are not able to solve comment below!!

Answer 2

Concept

Such questions are solved using a system of linear equations. A system of linear equations is a set of equations relating two or more variables.

Given

Total number of coin = 60

Total amount = 195 Rs.

There are two types of coins in the purse which are 2 Rs. and 5 Rs.

Find

We are asked to calculate the number of coins of 2 Rupees and 5 Rupees.

Solution

Let, number of coin of 2 Rs. = x

Number of coin of 5 Rs. = y

Then, x + y = 60 ......(1)

2x + 5y = 195 ...........(2)

Multiplying equation (1) by 2 and then subtracting is from equation (2), we have

(2x + 5y) - (2x + 2y) = 195 - 120

3y = 75

y = 25

Putting value of y into the equation (1), we get

x + 25 = 60

x = 60 - 25

x = 35

Hence the number of coins of 2 Rs. are 35 and the number of coins of 5 Rs. are 25.

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