Question

Ananya has Rs 350 in denomination of Rs 50, Rs 5, Rs 20. If the number of Rs 20 notes is same as the number of Rs 5 notes. The total number of notes is 10, then the number of Rs 50 notes is

Answer 1

Answer:

Step-by-step explanation:

Let,

No. Of 50 rupees notes be 10-x

No. Of 5 rupees notes be x

No. Of 20 rupees notes be x

50(10-x)+5x+20x=350

500-50x+5x+20x=350

25x=500-350

x=150/25=6

No.of 50 rupees notes are 6

Answer 2

Given:

Ananya has Rs 350 in denominations of Rs 50, Rs 5, Rs 20. Also, the number of Rs 20 notes is the same as the number of Rs 5 notes. The total number of notes is 10.

To find:

The number of Rs. 50 notes.

Solution:

The number of Rs. 50 notes are 6.

To answer this question, we will follow the following steps:

Let the number of Rs. 20 and Rs. 50 notes are x and y respectively.

So,

As given, we have,

The number of Rs. 20 notes = The number of Rs. 5 notes = x

Now,

According to the question, we have

$5x + 20x + 50y = 350$

$= 25x + 50y = 350$

This can be written as

$x + 2y = 14 \: \: (i)$

Also given,

Total number of notes = 10

$x + x + y = 10$

$2x + y = 10 \: \: (ii)$

After multiplying the (ii) by 2, we get

$4x + 2y = 20 \: \: (iii)$

On subtracting (i) from (iii), we get

$3x = 6$

$x = 2$

On putting the value of x in (i), we get

$2 + 2y = 14$

$2y = 12$

$y = 6$

Hence, the number of Rs. 50 notes are 6.