Question

vinny has rs 45 in 50- paisa and 25-paisa coins is thrice the number of 50-paisa coins,how many coins of each kind does she have?​

Answer 1

Step-by-step explanation:

Correction:-

Vinny has Rs. 45 in 50 paisa and 25 paisa coins . 25 paisa coins is thrice the number of 50-paisa coins,how many coins of each kind does she have?

Solution :-

Let the number of 50 paisa coins be X

The value of all 50 paisa coins = 50×X

= 50X paisa

Then,

The number of 25 paisa coins

= Thrice the number of 50 coins

= 3X

The value of all 25 paisa coins

= 25×3X = 75x paisa

Total amount of Vinny = Rs. 45

We know that

1 Rupee = 100 paisa

=> 45 Rupees = 45×100 = 4500 Paisa

=> 50X+75X = 4500

=> 125X = 4500

=> X = 4500/125

=> X = 36

Number of 50 paisa coins = 36

If X = 36 then 3X = 3(36) = 108

Number of 25 paisa coins = 108

Answer:-

Number of 25 paisa coins = 108

Number of 50 paisa coins = 36

Check :-

Number of 25 paisa coins = 108

Value of all 25 paisa coins = 108×25 = 2700 paisa

= Rs. 27

Number of 50 paisa coins = 36

Value of all 50 paisa coins = 36×50 = 1800 paisa

= Rs. 18

Total amount = 27+18 = Rs. 45

Verified the given relations in the given problem.

Used formulae:-

→ 1 Rupee = 100 paisa

Answer 2

We know that :

$\rm \implies \: 1 \: Rupees = 100 \: paise$

From the question :

$\rm \bigstar \: Vinny \: has \: Rs \: 45 = 45 \times 100 = 4500 \: paise$

Condition :

$\rm \: 25 \: paise \: coins \: is \: thrice \: the \: number \: of \: 50 \: paise \: coins$

To Find :

$\rm \:How \: many \: coins \: of \: each \: kind \: does \: she \: \: have \: ?$

Assume that :

$\rm \: Let's \: 50 \: paise \: coins \: be \: x$

$\rm \: and \: 25 \: paise \: coin \: be \: 3x$

Then :

$\rm = 50x + 25 \: (3x) = 4500$

$\rm = 50x + 75x= 4500$

$\rm = 125x= 4500$

Now,

$\rm \therefore \: Multiplying \: both \: sides \: by \: \dfrac{1}{100}$

$\rm = 125x \times \dfrac{1}{100} = 4500 \times \dfrac{1}{100}$

$\bf \implies \: x = 36$

Therefore ,

$\rm \therefore \: The \: number \: of \: 50 \: paise \: coins \: is \: 36$

$\rm \therefore \: The \: number \: of \: 25 \: paise \: coins \: is , \:$

$\rm \implies \: 3x = 3 \times (36) = 108$