Question

A piggy bank has only one rupee and 50 paise coins.
If there are three times as many 50 paise coins as one
rupee coins and the total money in this bank is rupees 35.

How many coins of each kind are there?​

Answer 1

Answer:

Let one rupee coins in the bank be 'x'.

No. of 50 paise coins be '3x'.

Now:

Value of x one rupee coins = Rs. x

Value of 3x fifty-paise coins = 50 × 3x paise

So:

$\boxed{\sf{150x = paise = Rs.\:\frac{150}{100} x = Rs.\:\frac{3x}{2}}}$

Therefore:

Total value of all the coins:

$\boxed{\sf{Rs.\:(x + \frac{3x}{2} )}}$

Now:

As, it is given that, the total amount of the money in the bank = Rs. 35

So:

$\implies$ 0.5(3x) + 1(x) = 35

$\implies$ 0.15x + 1x = 35

$\implies$ 25/10x = 35

$\implies$ 25x = 35 × 10

$\implies$ 25x = 350

$\implies$ x = 14

Thus:

Number of one rupee coins = 14

And:

Number of 50 paise coins:

$\implies$ 3x

$\implies$ 3 × 14

$\implies$ 42

Answer 2

answer is 42

Step-by-step explanation:

Answer:

Let one rupee coins in the bank be 'x'.

No. of 50 paise coins be '3x'.

Now:

Value of x one rupee coins = Rs. x

Value of 3x fifty-paise coins = 50 × 3x paise

So:

150x=paise=Rs.

100

150

x=Rs.

2

3x

Therefore:

Total value of all coins :

given;that the total amount of the money in the bank = Rs. 35

So:

0.5(3x) + 1(x) = 35

0.15x + 1x = 35

25/10x = 35

25x = 35 × 10

25x = 350

x = 14

Thus:

Number of one rupee coins = 14

And:

Number of 50 paise coins:

=3x

=3 × 14

=42