Question

maddu piggy bank contain 5 rupee and 10 rupee. the number of 5 rupee coin is double the number of 10 rupee coin.if total valve of coin in her piggy bank is 200.find the number of coin of each denominator

Answer 1

Answer:

Let the Number of 10 rupee coin be n, & Number of 5 rupee coin be 2n.

$\underline{\bigstar\:\:\textsf{According to the Question :}}$

$\dashrightarrow\tt\:\:Rs.\:5\:Coin+Rs.\:10\:Coin=Rs.\:200\\\\\\\dashrightarrow\tt\:\:(No.\times Value)_{Rs.\:5}+(No.\times Value)_{Rs.\:10}=Rs.\:200\\\\\\\dashrightarrow\tt\:\:(2n \times 5) + (n \times 10) = 200\\\\\\\dashrightarrow\tt\:\:10n + 10n = 200\\\\\\\dashrightarrow\tt\:\:20n = 200\\\\\\\dashrightarrow\tt\:\:n = \dfrac{200}{20}\\\\\\\dashrightarrow\tt\:\:n = 10$

$\rule{150}{1}$

$\underline{\bigstar\:\:\textsf{Number of Each Denomination :}}$

$\bullet\:\:\textsf{Rupee 5 = 2n = 2(10) = \textbf{20}}\\\bullet\:\:\textsf{Rupee 10 = n = \textbf{10}}$

Answer 2

Answer:

$\boxed{Rs. 5\:coin = 20}$

$\boxed{Rs. 10\:coin = 10}$

Step-by-step explanation:

• Let 10 rupee coin be r.
• Let 5 rupee coin be 2r.

Now, Solution :

It's written that the total value of coin in her piggy bank is 200.

So, now we will add Rs. 5 coin with Rs. 10 coin.

→ (2n × 5) + (n ×10) = 200

→ 10n + 10n = 200

→ 20n = 200

→ n = 200/20

→ n = 10

Final Answer :

• Rs. 5 coin = 2n = 2 × 10 = 20
• Rs. 10 coin = n = 10

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