Question

I have a total of 300 in coins of denominaton rupees ₹1, ₹2 and ₹5. The number of ₹2 rupees coins is 3 times the number of ₹ 5 .The total no.of coins is 160 .How many number of coins of each dinomination are with me?

Plz don't just give only the answer. ​

Step by step needed

Answer 1

$\huge\textbf{Answer:-}$

According to the given question:-

• 300 rupees is the total value.

• 160 is the total number of given coins.

• Rupees 1, Rs 2 and Rs 5 are the given denominations of coins.

• Total Number of Rupees 2 coins = 3y number Rs 5

• Let y be the number of coins of Rs 5

1 = 160 – (y + 3y) = 160 – 4y

300 = 1 x (160 – 4y)+ (2 x 3y) + (5 x y)

300 = (160 – 4y) + 6y + 5y

300 = 160 – 4y + 6y + 5y

300 = 160 – 4y + 11y

300 = 160 + 7y

• We need to transpose 160 to Left hand side:-

300 – 160 = 7m

140 = 7 y

• We need to divide both sides with 7:-

1 = 160 – (4 x 20) = 160 – 80 = 80

• Substituting the value of y :-

2 = 3y = 3 x 20 = 60

So, here:-

• 1 = 80 is the Number of coins
• 2 = 6 is the Number of coins
• 5 = 20 is the Number of coins of coins.