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.
Answers
Answer:
Let us assume that the 50 paise of the coins are x .
Let us assume that the 25 paise of the coins are y .
As given
There are some 50 paise and some 25 paise coins in a bag.
If the total number of coins 30 and their total value is ₹11 .
Equation becomes
x + y = 30
As
1 Rupee = 100 paise
1 Paise = 0.01 Rupee
For 50 paise
50 Paise = 50 × 0.01 Rupee
= 0.5 Rupee
25 Paise = 25 × 0.01 Rupee
= 0.25 Rupee
Equation becomes
0.5x + 0.25y = 11
Two equation becomes
x + y = 30
0.5x + 0.25y = 11
Multiply x + y = 30 by 0.5 and subtracted from 0.5x + 0.25y = 11 .
0.5x - 0.5x + 0.25y - 0.5y = 11 - 15
-0.25y = -4
0.25y = 4
y = \frac{4}{0.25}y=
0.25
4
y = 16
Put the value of y in the equation x + y = 30 .
x + 16 = 30
x = 30 - 16
x = 14
Therefore the number of 50 paise of the coins are 14 and 25 paise of the coins are 16 .
Answer:
Number of 50 paisa coins is 14
Number of 25 paisa coins is 16