Question

I have total total of Rs 450 in coins of denomination Rs 1 , Rs 2 and Rs 5.the number of coins is 3 times the number of Rs 5 coins the total number of coins is 240. how many coins of each denomination are with me​

Answer 1

Answer:

Step-by-step explanation:

Let number of Rs5 coins be x

Number of Rs 2 coins =3× Number of 5 Rs coins =3x

Number of Re1 coins =160−(x+3x)

=160−4x

Amount of Rs5 coins =5×x=5x

Amount of Rs2 coins =2×3x=Rs6x

Amount of Re1 coins =(160−4×x)

=160−4x

As per the question, Total amount =Rs300

160−4x+5x+6x=300

7x=300−160

x=  

7

140

​  

 

x=20

Number of Re 1 coins =160−4x

=160−4×20

=80

Number of Rs2 coins =3x=3×20=60

Number of Rs5 coins =x=20

Answer 2

Answer:

There are:-

30 coins of Rs.5

90 coins of Rs.2

120 coins of Rs.1.

Step-by-step explanation:

I believe your Question is,

"I have a total of Rs 450 in coins of denomination Rs.1, Rs.2 and Rs.5. The number of Rs.2 coins is 3 times the number of Rs.5 coins. The total number of coins is 240. How many coins of each denomination are with me?

Now,

Let there be x coins of Rs.5

Then, according to the Question,

Number of coins of Rs.2 = 3 × Number of coins of Rs.5

No. of Coins of Rs.2 = 3 × x

No. of Coins of Rs.2 = 3x

We know that,

Total number of coins = 240

So,

No. of Rs.1 coins = Total coins - Rs.2 coins - Rs.5 coins

No. of Rs.1 coins = 240 - 3x - x

No. of Rs.1 coins = 240 - 4x

Now,

we are given,

Sum of the money = Rs.450

So,

Amt. of Rs.5 + Amt. of Rs.2 + Amt. of Rs.1 = 450

We know that,

There are x Rs.5 coins,

So,

Amt. of Rs.5 = Value × No. of coins

Amt. of Rs.5 = 5 × x

Amt. of Rs.5 = 5x

Similarly,

There are 3x Rs.2 coins,

So,

Amt. of Rs.2 = Value × No. of coins

Amt. of Rs.2 = 2 × 3x

Amt. of Rs.2 = 6x

Also,

There are 240 - 4x Rs.1 coins,

So,

Amt. of Rs.1 = Value × No. of coins

Amt. of Rs.1 = 1 × (240 - 4x)

Amt. of Rs.1 = 240 - 4x

Hence,

Amt. of Rs.5 + Amt. of Rs.2 + Amt. of Rs.1 = 450

5x + 6x + (240 - 4x) = 450

11x + 240 - 4x = 450

7x = 450 - 240

7x = 210

x = 210/7

x = 30

Thus,

There are 30 coins of Rs.5

There are 3x = 30 × 3 = 90 coins of Rs.2

There are 240 - 4x = 240 - 4(30)

= 240 - 120

= 120 coins of Rs.1

Hence,

There are:-

30 coins of Rs.5

90 coins of Rs.2

120 coins of Rs.1

We can also check this,

Total No. of coins = 240

30 + 90 + 120 = 240

120 + 120 = 240

240 = 240

Hence, it is correct.

Total money = Rs.450

(5 × 30) + (2 × 90) + (1 × 120) = 450

(150) + (180) + (120) = 450

330 + 120 = 450

450 = 450

Hence, that is also correct

Hope it helped and believing you understood it........All the best