Question

A box contain ₹56 in the form of coins of one rupee, 50 paisa and 25 paisa. the number of 50 paisa coins is double the number of 25 paisa coins and four times the number of one rupee coins. the number of 50 paisa coin in the box is​

Answer 1

Answer:

Step-by-step explanation:

let 1 rupee coins be x

then, 50 paisa coins = 4x

and 25 paisa coins = 2x

Total amount = sum of (no of coins x value of each coin)

no, converting the paisa value of coins into rupees of coins (as the total amount is in rupees), we get

56= 1(x) + 0.50(4x) + 0.25(2x)

56 = x+2x+0.5x

56 = 3.5x

x = 16

THEREFORE, the number of 50 paisa coins will be 4x = 64

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Answer 2

Answer:

Step-by-step explanation:

Given :-

A box contain ₹56 in the form of coins of one rupee, 50 paisa and 25 paisa.

The number of 50 paisa coins is double the number of 25 paisa coins and four times the number of one rupee coins.

To Find :-

Number of 50 paisa coins.

Solution :-

Let the number of 50 paisa coin be x.

And number of 25 paisa coin be$\sf \dfrac{x}{2}$ .

And the number of 1 rupee coin be$\sf \dfrac{x}{4}$ .

According to the Question,

$\bf\implies \dfrac{1}{2}\times x+\dfrac{1}{4}\times\dfrac{x}{2}+1\times\dfrac{x}{4}=56$

$\sf\implies \dfrac{4x+x+2x}{8} =56$

$\sf\implies \dfrac{7x}{8} =56$

$\sf\implies 7x=56\times8$

$\sf\implies 7x=448$

$\sf\implies x=\dfrac{448}{7}$

$\bf\implies x=64$

Hence, the number of 50 paisa coin in the box is 64.