Question

Praveen has Rs. 180 in his piggy bank. he told to Daksh that his piggy bank has only Rs. 2 and Rs. 5 and the number of Rs. 2coins are the double of the number of coins of Rs. 5.find the number of coins of Rs 2 and Rs. 5 in the piggy bank.​

Answer 1

Answer:

The number of coins of Rs. 5 = 20

The number of coins of Rs. 2 = 40

Step-by-step explanation:

Given :

• In piggy bank has only Rs. 2 and Rs. 5

• The number of Rs. 2coins are the double of the number of coins of Rs. 5

• Total amount = Rs. 180

To find :

• The number of coins of Rs 2 and Rs. 5 in the piggy bank

Solution :

The number of Rs. 2coins are the double of the number of coins of Rs. 5

Let,

The number of coins of Rs. 5 = x

The number of coins of Rs. 2 = 2x

★ Value of coin :

$\longrightarrow$ 5x

$\longrightarrow$ 2(2x) = 4x

★ According to the Question :

$\longrightarrow$ 5x + 4x = 180

$\longrightarrow$ 9x = 180

$\longrightarrow$ x = 180 / 9

$\longrightarrow$ x = 20

The number of coins of Rs. 5 = 20

The number of coins of Rs. 2 = 2x

$\longrightarrow$ 2(20)

$\longrightarrow$ 40

The number of coins of Rs. 2 = 40

★ Verification :

Total amount = Rs. 180

The number of coins of Rs. 5 = 20

$\longrightarrow$ 20 coins × Rs. 5 = Rs. 100

The number of coins of Rs. 2 = 40

$\longrightarrow$ 40 coins × Rs. 2 = Rs. 80

Rs. 100 + Rs. 80 = Rs. 180

Answer 2

Step-by-step explanation:

Let, assume the no. of coins 5 Rs. = a

and the no. of coins 2 Rs. = 2a

As per the Question :

total Rs. 180

5a + 2 (2a) = 180

5a + 4a = 180

9a = 180

a = 180 / 9

a = 20

the no. of coins 5 Rs. = 20 and Rs. 2 coins are 20 × 2 = 40