Question

There are some 50p and some 25p coins in a bag if the total no. of coins is 30and their total value is rupees 11.find the number of coins of each kind
.


. please give answer.​

Answer 1

Step-by-step explanation:

Given:-

There are some 50p and 25p coins in the bag.

The total number of coins = 30.

The total amount = Rs.11

To Find:-

The number of coins of each kind.

Solution:-

Let the number of 50p coins be x

And the number of 25p coins be y

Condition 1:-

The total number of coins = 30

$\sf \implies x + y = 30.....(ii)⟹x+y=30.....(ii)$

Condition 2:-

The total amount = Rs.11 = 1100p

$\sf\implies 50x + 25y = 1100⟹50x+25y=1100$

Dividing the whole equation by 25

$\sf\implies 2x + y = 44.....(ii)⟹2x+y=44.....(ii)$

Equation (ii) - (i):-

$\sf\implies 2x + y - (x + y) = 44 - 30⟹2x+y−(x+y)=44−30$

$\sf \implies 2x + y - x - y = 14⟹2x+y−x−y=14$

$\sf \implies x = 14⟹x=14$

Substitute x = 14 in equation (i)

$\sf \implies x + y = 30⟹x+y=30$

$\sf \implies 14 + y = 30⟹14+y=30$

$\sf \implies y = 30 - 14⟹y=30−14$

$\sf \implies y = 16⟹y=16$

Therefore:-

The number of 50p coins = 14

The number of 25p coins = 16

Answer 2

Answer:

number of 50 paise coins =x

number of 25 paise coins will be 30-x

total number of rupess= 11(1100 paise)

so,50x+25(30-x)=1100 paise

50x+750-25x=1100

25x+750=1100

25x=350

x=14

so number of 50p paise coins =14

number of 25 p coins = 30-14

=16

hope this helps