Question

A bag contains a total of 90 coins in the form of 20 paise and 25 paise coins. if the total value of coins in the bag is rs. 21, the number of 25 paise coins in the bag is

Answer 1

$\textbf {Solution:}$

Let the number of 25 paise coins be x.

Then, the number of 20 paise coins = (90-x).

Value of 25 paise coins = ${25 \times x = 25x}$

Value of 20 paise coins = 20 (90-x)

Total value = Rs 21 = 2100 paise.

So,

$25x + 20(90 - x) = 2100 \\ \\ 25x + 1800 - 20x = 2100 \\ \\ 5x + 18 00 = 2100 \\ \\ 5x = 2100 - 1800 \\ \\ 5x = 300 \\ \\ x = \frac{300}{5} = 60$

Now,

The no of 25 paise coins = x = 60.

And the no of 20 paise coins = (90-60) = 30.


$\bold{\underline {25 p = 60 \: \: and \: \: 20 p = 30}}$



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