Question

a purse has only one rupee and two rupee coins in it. The no. of two rupee coins is one third the no. of one rupee coins. if the purse has Rs. 115 find the no. of two rupee coins ​

Answer 1

Answer:

Step-by-step explanation:

Given :-

A purse has only one rupee and two rupee coins in it.

The no. of two rupee coins is one third the no. of one rupee coins.

If the purse has Rs. 115.

To Find :-

Number of two rupee coins.

Solution :-

Let the number of one rupee coin be x

According to the Question

⇒ x + 2 (1/3 x) = 115

⇒ x + 2/3  = 115

⇒ (3x + 2x)/3 = 115

⇒ 5x/3 = 115

⇒ x = 115 × 3/5

⇒ x = 69

Number of 2 rupee coins = 1/3 × 69 = 23

Hence, the number of two rupee coins ​are 23.

Answer 2

$\large \bold{ \underline{ \underline{ \sf \: Answer : \: \: \: }}}$

$\to$ The number of 2 rupee coins = 23

$\large \bold{ \underline{ \underline{ \sf \:Explaination : \: \: \: }}}$

Let ,

The number of one rupee coin = x

So , The number of 2 rupee coin is 1/3 of x

According to the question ,

$\to\sf x + 2 (\frac{1}{3})x = 115 \\ \\ \sf \to</p><p>x + \frac{2x}{3} = 115 \\ \\ \sf \to</p><p> \frac{(3x + 2x)}{3} = 115 \\ \\ \sf \to</p><p> \frac{5x}{3} = 115 \\ \\ \to \sf</p><p>x= \frac{115 \times 3}{5} \\ \\ \sf \to</p><p>x = 69$

$\therefore$ The number of 2 rupee coins is 1/3 of 69 i.e 23