Question

A person has only 1 and 2 coins with
her. If the total number of coins that she
has is 50 and the amount of money
with her is 75, then the number of 1
and 2 coins are, reapectively​

Answer 1

$\star\boxed{\bf ANSWER}}\star$

No. of ₹ 1 coins = 25

No. of ₹ 2 coins = 25

Given :

• Value of coins = 1 /- and 2 /-
• Total number of coins = 50
• Total money with her = 75 /-

To Find :

• Number of one rupee and two rupee coins.

Solution :

Let, No. of 1 rupee coins be 'x'.

No. of 2 rupee coins be 'y'.

According to the problem,

x + y = 50 [ Since, total number of coins is 50 ]

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

1x + 2y = 75 [ total money ]

Substitute equation 1 in this.

1(50 - y) + 2y = 75

50 + y = 75

y = 75 - 50

y = 25

Substitute y = 25 in equation 1.

x = 50 - y = 50 - 25

x = 25

Therefore, number of 1 rupee coins = 25

number of 2 rupee coins = 25

Answer 2

Step-by-step explanation:

$\bf{\underline{\underline\red{Given:-}}}$

• A person has only 1 and 2 rupee coins.

• The total number of coins that she has is 50.

• The total money with her is 75.

$\bf{\underline{\underline\blue{To\:Find:-}}}$

• The number of 1 and 2 rupee coins respectively , are there with her.

$\bf{\underline{\underline\green{Solution:-}}}$

Let

The number of 1 rupee coins be x

Number of 2 rupee coins be y

As the total number of coins is 50

$\implies\rm x + y = 50.......(i)$

As the total money is 75.

$\implies\rm 1(x )+ 2(y )= 75$

$\implies\rm x + 2y = 75......(ii)$

Adding equation (i) and (ii)

$\rm \not x + y = 50$

$\rm - \not x - 2y =- 75$

___________

$\rm \implies - 2y + y= - 75 + 50$

$\rm \implies - y= - 25$

$\rm \implies y= \dfrac{ - 25}{ - 1}$

$\rm \implies y= 25$

Substituting y = 25 in equation (i)

$\rm \implies x + y= 50$

$\rm \implies x + (25)= 50$

$\rm \implies x = 50 - 25$

$\rm \implies x = 25$

So:-

The number of 1 rupee coins = x = 25

The number of 2 rupee coins = y = 25.