Question

In a bag, number of one rupee coin is three times than two rupees coin. If there

are only Rs 150 in this bag, then find out the number of both the coins.​

Answer 1

Answer:

25 2-rupee coins and 75 1-rupee coins

Step-by-step explanation:

Let the number of 2 rupee coins be x

So, number of 1 rupee coins = 3x

We know that 3x + x = 150

So, lets use the transposition method and solve this equation

3x + x = 150

x + x  =  150 ÷ 3

x + x = 50

2x = 50

x - 50 ÷ 2

x = 25

So, Number of 2-rupee coins is 25

And number of 1-rupee coins is 25 x 3 = 75

Answer 2

Step-by-step explanation:

$\\ let \: the \: \: two \: rupee \: coin \: be \: x \\ and \: one \: rupee \: coin \: be \: 3x \: respectively \\ \\ denomination \: of \: 1 \: rupee \: coin = 3x(1) = 3x \\ denomination \: of \: 2 \: rupee \: coin = x(2) = 2x \\ total \: no \: of \: rupees \: in \: a \: bag = 150 \\ 3x + 2x = 150 \\ 5x = 150 \\ x = 30 \\ 1 \: rupee \: coin \: = 30 \times 3 = 90 \\ 2 \: rupee \: coin = 30 \times 2 = 60$