Question

a bag contains denomination of 50 paise and five rupees. The total value of these coins is Rs. 300. If total number of coins in the bag is 150, find the number of coins of each type.

Answer 1

Let 50 paise coins be x
5 rupees coins will be (150-x) as there are q50 coins in the bag
50 paise = 100/50=1/2 rupees
1/2(x)+5(150-x)= 300 rupees
x/2+750-5x = 300 rs
-9x/2+750= 300
750-300 = 9x/2
450= 9x/2 => 9x = 900 => x=900/9 = 100 (50-paise coins )
5rupees coins => 150-x => 150-100=> 50 coins
hope this helps

Answer 2

Let the coins of 50 paise = x

Coins of 5 rupees = 150 - x

Total coins of 50 paise = 50/100 * x = 0.5x rupees

( we took 50/100 to convert it into rupees)

Total coins of 5 rupees = 5 ( 150 - x) = 750 - 5x

Now, 0.5x + 750 - 5x = 300

4.5x = 750 - 300

x = 450/4.5

x = 100

So we have 100 coins of 50 paise

And 150 - 100 = 50 coins of 5 rupees

total sum 100 * 0.5 + 50 * 5 = 50 + 250 = 300