Question

There are 50 coins of two different denominations, two-rupee and five-rupee, in a box. If the number of
two-rupee coins is 10 less than that of five-rupee coins, find the number of coins of each denomination
Also, find the amount in the box
​

Answer 1

Answer:

There are 20 coins of 2 Rs.

30 coins of 5 Rs.

and total amount is 290 Rs.

Step-by-step explanation:

Given, total no. of coins = 50

Let, the no. of 2 Rs. coin be x

and the no. of 5 Rs. coin be y

Now, According to question

x + y = 50 ---------- equation 1

x = y - 10 or x - y = - 10 ----------- equation 2

Adding both equations

2x = 40 or x = 20 ------- equation 3

Putting the value of x of Equation 3 in Equation 1

20 + y = 50

y = 50 - 20 or y = 30

There are 20 coins of 2 Rs.

and 30 coins of 5 Rs.

The total amount in the box = (2 × 20) + (5 × 30)

= 40 + 150

= 290 Rs.